MatemáticasBásico1 respuestas

Determina las raíces de las siguientes ecuaciones cuadráticas 1)x2 – 3x = 02) 6x2 + 42x = 03) x2 + ax = 04)x2 – 18x + 80 = 05) x2 – 4x – 96 = 06) x2 – 17x + 52 = 07) x2 – 7x – 120 = 08) 4x2 + 5x – 6 =?

Determina las raíces de las siguientes ecuaciones cuadráticas 1) x2 – 3x = 0 2) 6x2 + 42x = 0 3) x2 + ax = 0 4) x2 – 18x + 80 = 0 5) x2 – 4x – 96 = 0 6) x2 – 17x + 52 = 0 7) x2 – 7x – 120 = 0 8) 4x2 + 5x – 6 = 0 9) 6x2 + 5x – 1 = 0 10) 3x2 – 10x – 25 = 0 11) 7x2 – 16x + 9 = 0 12) x2 – 5ax + 6a2 = 0 me ayudan pliss.

Calculadora interactiva

ax² + bx + c = 0

En resumen

Para determinar las raíces de las funciones cuadráticas se resuelve así! : <img src="https://tex.z-dn.net/?

Mejor respuesta

Claupaty
5

Para determinar las

raíces de las funciones cuadráticas se resuelve así!

:

<img src="https://tex.z-dn.net/?f=Forma%20%5C%20Polin%5C%27omica%5C%20%5Cto%20ax%5E2%2Bbx%2Bc%3D0%20%5C%5C%20%5C%5C%0A1%29%20Ecuaci%5C%27on%20%5C%20incompleta%20%5Cquad%5Cto%20x%5E2-3x%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%20factor%20%5C%0Acom%5C%27un%20%5C%5C%20%5C%5C%20x%5E2-3x%3D%200%20%5C%5C%20%5C%5C%20x%28x-3%29%20%3D0%20%5C%5C%20%5C%5C%20x%3D0%5Cqquad%5Cqquad%20x%3D%203%20%5C%5C%20%5C%5C%20Las%20%5C%0Ara%5C%27ices%5C%20son%20%5C%20%5Cboxed%7B%20x_1%3D0%5C%20y%5C%20x_2%3D%203%20%7D%20" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<img src="https://tex.z-dn.net/?f=2%29%206x%5E2%2B42x%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%20factor%20%5C%0Acom%5C%27un%20%5C%5C%20%5C%5C%20x%5E2-3x%3D%200%20%5C%5C%20%5C%5C%206x%28x%2B7%29%20%3D0%20%5C%5C%20%5C%5C%206x%3D0%5Cto%20x%3D%200%5Cqquad%5Cqquad%20x%2B7%3D%200%0A%5Cto%20x%3D%20-7%5C%5C%20%5C%5C%20Las%20%5C%20ra%5C%27ices%5C%20son%20%5C%20%5Cboxed%7B%20x_1%3D0%5C%20y%5C%20x_2%3D%20-7%20%7D" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<img src="https://tex.z-dn.net/?f=3%29%20x%5E2%2Bax%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%0Afactor%20%5C%20com%5C%27un%20%5C%5C%20%5C%5C%20x%5E2%2Bax%3D%200%20%5C%5C%20%5C%5C%20x%28x%2Ba%29%20%3D0%20%5C%5C%20%5C%5C%20x%3D0%5Cqquad%5Cqquad%20x%2Ba%3D0%5Cto%0Ax%3Da%20%5C%5C%20%5C%5C%20Las%20%5C%20ra%5C%27ices%5C%20son%20%5C%20%5Cboxed%7B%20x_1%3D0%5C%20y%5C%20x_2%3D%20a%20%7D%20" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<img src="https://tex.z-dn.net/?f=4%29%20x%5E2-18x%2B80%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%20Bascara%5Cto%0Ax_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%2C%20entonces%20%5C%5C%20%5C%5C%20x%5E2-18x%2B80%3D%200%0A%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-%28-18%29%5Cpm%20%5Csqrt%7B%28-18%29%5E2-4%281%29%2880%29%7D%20%7D%7B2%281%29%7D%5Cqquad%20a%3D%0A1%5Cquad%20b%3D-18%5Cquad%20c%3D80%20%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B%2B18%5Cpm%20%5Csqrt%7B324-320%7D%20%7D%7B2%7D%20%5C%5C%0A%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B%2B18%5Cpm%20%5Csqrt%7B4%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5Cx_%7B1%5C%20y%5C%202%7D%3D%5Cdfrac%7B18%5Cpm2%20%7D%7B2%7D%0A%5C%5C%20%5C%5C%20%5C%5Cx_%7B1%7D%3D%5Cdfrac%7B18%2B2%20%7D%7B2%7D%20%5Cqquad%20x_%7B1%7D%3D%5Cdfrac%7B20%20%7D%7B2%7D%20%5Cqquad%20%5Cboxed%7Bx_1%3D%0A10%7D%20" />

<img src="https://tex.z-dn.net/?f=%5C%5C%20%5C%5C%20%5C%5Cx_%7B2%7D%3D%5Cdfrac%7B18-2%20%7D%7B2%7D%20%5Cqquad%0Ax_%7B2%7D%3D%5Cdfrac%7B16%7D%7B2%7D%20%5Cqquad%20%5Cboxed%7Bx_2%3D%204%7D" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<img src="https://tex.z-dn.net/?f=5%29%20x%5E2-4x-96%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%0ABascara%5Cto%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%2C%20entonces%20%5C%5C%20%5C%5C%20%5C%5C%0A%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-%28-4%29%5Cpm%20%5Csqrt%7B%28-4%29%5E2-4%281%29%28-96%29%7D%20%7D%7B2%281%29%7D%5Cqquad%20a%3D%201%5Cquad%0Ab%3D-4%5Cquad%20c%3D-96%20%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B%2B4%5Cpm%20%5Csqrt%7B16%2B384%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5C%20x_%7B1%5C%0Ay%5C%202%7D%3D%20%5Cdfrac%7B%2B4%5Cpm%20%5Csqrt%7B400%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5Cx_%7B1%5C%20y%5C%202%7D%3D%5Cdfrac%7B4%5Cpm20%20%7D%7B2%7D%20%5C%5C%20%5C%5C%0A%5C%5Cx_%7B1%7D%3D%5Cdfrac%7B4%2B20%20%7D%7B2%7D%20%5Cqquad%20x_%7B1%7D%3D%5Cdfrac%7B24%20%7D%7B2%7D%20%5Cqquad%20%5Cboxed%7Bx_1%3D6%7D%5C%5C%20%5C%5C%0A%5C%5Cx_%7B2%7D%3D%5Cdfrac%7B4-20%20%7D%7B2%7D%20%5Cqquad%20x_%7B2%7D%3D%5Cdfrac%7B-16%20%7D%7B2%7D%20%5Cqquad%0A%5Cboxed%7Bx_2%3D-8%7D" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<img src="https://tex.z-dn.net/?f=6%29%20x%5E2-17x%2B52%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%0ABascara%5Cto%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%2C%20entonces%20%5C%5C%20%5C%5C%20%5C%5C%0A%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-%28-17%29%5Cpm%20%5Csqrt%7B%28-17%29%5E2-4%281%29%2852%29%7D%20%7D%7B2%281%29%7D%5Cqquad%20a%3D%0A1%5Cquad%20b%3D-17%5Cquad%20c%3D52%20%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B%2B17%5Cpm%20%5Csqrt%7B289-208%7D%20%7D%7B2%7D%20%5C%5C%0A%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B17%5Cpm%20%5Csqrt%7B81%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5Cx_%7B1%5C%20y%5C%202%7D%3D%5Cdfrac%7B17%5Cpm9%20%7D%7B2%7D%0A%5C%5C%20%5C%5C%20%5C%5Cx_%7B1%7D%3D%5Cdfrac%7B17%2B9%20%7D%7B2%7D%20%5Cqquad%20x_%7B1%7D%3D%5Cdfrac%7B26%20%7D%7B2%7D%20%5Cqquad%0A%5Cboxed%7Bx_1%3D13%7D%5C%5C%20%5C%5C%20%5C%5Cx_%7B2%7D%3D%5Cdfrac%7B17-9%20%7D%7B2%7D%20%5Cqquad%20x_%7B2%7D%3D%5Cdfrac%7B8%20%7D%7B2%7D%20%5Cqquad%0A%5Cboxed%7Bx_2%3D4%7D" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<img src="https://tex.z-dn.net/?f=7%29%20x%5E2-7x-120%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%0ABascara%5Cto%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%2C%20entonces%20%5C%5C%20%5C%5C%20%5C%5C%0A%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-%28-7%29%5Cpm%20%5Csqrt%7B%28-7%29%5E2-4%281%29%28-120%29%7D%20%7D%7B2%281%29%7D%5Cqquad%20a%3D%0A1%5Cquad%20b%3D-7%5Cquad%20c%3D-120%20%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B%2B7%5Cpm%20%5Csqrt%7B49%2B480%7D%20%7D%7B2%7D%20%5C%5C%0A%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B7%5Cpm%20%5Csqrt%7B529%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5Cx_%7B1%5C%20y%5C%202%7D%3D%5Cdfrac%7B7%5Cpm23%20%7D%7B2%7D%0A%5C%5C%20%5C%5C%20%5C%5Cx_%7B1%7D%3D%5Cdfrac%7B7%2B23%20%7D%7B2%7D%20%5Cqquad%20x_%7B1%7D%3D%5Cdfrac%7B30%20%7D%7B2%7D%20%5Cqquad%0A%5Cboxed%7Bx_1%3D15%7D%5C%5C%20%5C%5C%20%5C%5Cx_%7B2%7D%3D%5Cdfrac%7B7-23%20%7D%7B2%7D%20%5Cqquad%20x_%7B2%7D%3D%5Cdfrac%7B-16%20%7D%7B2%7D%0A%5Cqquad%20%5Cboxed%7Bx_2%3D-8%7D" /> - - - - - - - - - - - - - - - - - - - - - - - - - - -

<img src="https://tex.z-dn.net/?f=8%29%204x%5E2%2B5x-6%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%0ABascara%5Cto%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%2C%20entonces%20%5C%5C%20%5C%5C%20%5C%5C%0A%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-%285%29%5Cpm%20%5Csqrt%7B%285%29%5E2-4%284%29%28-6%29%7D%20%7D%7B2%284%29%7D%5Cqquad%20a%3D%204%5Cquad%0Ab%3D5%5Cquad%20c%3D-6%20%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-5%5Cpm%20%5Csqrt%7B25%2B96%7D%20%7D%7B8%7D%20%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%0A2%7D%3D%20%5Cdfrac%7B-5%5Cpm%20%5Csqrt%7B121%7D%20%7D%7B8%7D%20%5C%5C%20%5C%5Cx_%7B1%5C%20y%5C%202%7D%3D%5Cdfrac%7B-5%5Cpm11%20%7D%7B8%7D%20%5C%5C%20%5C%5C%0A%5C%5Cx_%7B1%7D%3D%5Cdfrac%7B-5%2B11%20%7D%7B8%7D%20%5Cqquad%20x_%7B1%7D%3D%5Cdfrac%7B6%7D%7B8%7D%20%5Cqquad%20%5Cboxed%7Bx_1%3D%0A%5Cfrac%7B3%7D%7B4%7D%20%7D%5C%5C%20%5C%5C%20%5C%5Cx_%7B2%7D%3D%5Cdfrac%7B-5-11%7D%7B8%7D%20%5Cqquad%20x_%7B2%7D%3D%5Cdfrac%7B-16%20%7D%7B8%7D%20%5Cqquad%0A%5Cboxed%7Bx_2%3D-2%7D" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<img src="https://tex.z-dn.net/?f=9%29%206x%5E2%2B5x-1%3D%200%20%5C%5C%20%5C%5C%20Se%20%5C%20aplica%20%5C%0ABascara%5Cto%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%2C%20entonces%20%5C%5C%20%5C%5C%20%5C%5C%0A%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-%285%29%5Cpm%20%5Csqrt%7B%285%29%5E2-4%286%29%28-1%29%7D%20%7D%7B2%286%29%7D%5Cqquad%20a%3D6%5Cquad%0Ab%3D5%5Cquad%20c%3D-1%20%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%202%7D%3D%20%5Cdfrac%7B-5%5Cpm%20%5Csqrt%7B25%2B24%7D%20%7D%7B12%7D%20%5C%5C%20%5C%5C%20x_%7B1%5C%20y%5C%0A2%7D%3D%20%5Cdfrac%7B-5%5Cpm%20%5Csqrt%7B49%7D%20%7D%7B12%7D%20%5C%5C%20%5C%5Cx_%7B1%5C%20y%5C%202%7D%3D%5Cdfrac%7B-5%5Cpm7%20%7D%7B12%7D%20%5C%5C%20%5C%5C%0A%5C%5Cx_%7B1%7D%3D%5Cdfrac%7B-5%2B7%20%7D%7B12%7D%20%5Cqquad%20x_%7B1%7D%3D%5Cdfrac%7B2%20%7D%7B12%7D%20%5Cqquad%0A%5Cboxed%7Bx_1%3D%5Cfrac%7B1%7D%7B6%7D%7D%5C%5C%20%5C%5C%20%5C%5Cx_%7B2%7D%3D%5Cdfrac%7B-5-7%7D%7B12%7D%20%5Cqquad%20x_%7B2%7D%3D%5Cdfrac%7B-12%7D%7B12%7D%0A%5Cqquad%20%5Cboxed%7Bx_2%3D-1%7D" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[img = 10] - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Te agrego el 11) y el 12) en adjuntosporqueel lugar de respuesta no alcanzo para hacerlo acá

Espero que te sirva, salu2!