MatemáticasBásico1 respuestas

Buenas noches porfavor me ayudarie conesto (x + 4)(x - 2) = 10?

Buenas noches porfavor me ayudarie conesto (x + 4)(x - 2) = 10.

En resumen

(X + 4)(X - 2) = 10 (X + 4)(X - 2) = X² - 2X + 4X - 8 X² + 2X - 8 = 10 X² + 2X - 18 = 0 ; Donde a = 1 ; b = 2 ; c = - 18 <img src="https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D" /> <img src="https://tex.z-dn.net/?

Mejor respuesta

Lauandre
3

(X + 4)(X - 2) = 10

(X + 4)(X - 2) = X² - 2X + 4X - 8

X² + 2X - 8 = 10

X² + 2X - 18 = 0 ; Donde a = 1 ; b = 2 ; c = - 18

<img src="https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D" />

<img src="https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-2%5Cpm%20%5Csqrt%7B2%5E2-4%281%29%28-18%29%7D%7D%7B2%281%29%7D" />

<img src="https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-2%5Cpm%20%5Csqrt%7B4%2B72%7D%7D%7B2%7D" />

<img src="https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-2%5Cpm%20%5Csqrt%7B76%7D%7D%7B2%7D" />

<img src="https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-2%5Cpm%20%5C%208.71779%7D%7B2%7D" />

X1 = [ - 2 + 8.

71779] / 2 = 3.

358895

X2 = [ - 2 - 8.

71779] / 2 = - 5.

358895.