1) x(2x 3) 3(5 x) = 83 2) (2x + 5)(2x 5) = 11 3) (7 + x)2 + (7 x)2 = 130 4) (2x 3)(3x 4) (x 13)(x 4) = 40 5) (3x 4)(4x 3) (2x 7)(3x 2) = 214 8(2 x)2 = 2(8 x)2 ayudenemen ahy que determinar las raices de ecuaciones cuadratizas gracias.
Pregunta de Matemáticas · 2 respuestas · 2 votos · mejor respuesta de Yoole
1)x(2x 3) 3(5 x) = 83 2x ^ 2 - 3x - 15 + 3x = 83 2x ^ 2 - 15 - 83 = 0 2x ^ 2 - 98 = 0 x ^ 2 - 49 = 0 (x + 7)(x - 7)
x = - 7 y x = 7
2)(2x + 5)(2x 5) = 11 4x ^ 2 - 25 = 11 4x ^ 2 - 25 - 11 = 0 4x ^ 2 - 36 = 0 x ^ 2 - 9 = 0 (x - 3)(x + 3) = 0
x = 3 y x = - 3
3)(7 + x)2 + (7 x)2 = 130 49 + 14x + x ^ 2 + 49 - 14x + x ^ 2 = 130 98 + 2x ^ 2 = 130 2x ^ 2 - 32 = 0 x ^ 2 - 16 = 0 (x - 4)(x + 4) = 0
x = 4 y x = - 4
4)(2x 3)(3x 4) (x 13)(x 4) = 40 6x ^ 2 - 8x - 9x + 12 - (x ^ 2 - 17x + 52) = 40 6x ^ 2 - 17x + 12 - x ^ 2 + 17x - 52 = 40 5x ^ 2 - 40 = 40 5x ^ 2 - 80 = 0 x ^ 2 - 16 = 0 (x + 4)(x - 4) = 0
x = - 4 y x = 4
5) (3x 4)(4x 3) (2x 7)(3x 2) = 214 12x ^ 2 - 9x - 16x + 12 - (6x ^ 2 - 4x - 21x + 14) = 214 12x ^ 2 - 25x + 12 - 6x ^ 2 + 25x - 14 = 214 6x ^ 2 - 2 = 214 6x ^ 2 - 216 = 0 x ^ 2 - 36 = 0 (x + 6)(x - 6) = 0
x = - 6 y x = 6
6)8(2 x)2 = 2(8 x)2 8(4 - 4x + x ^ 2) = 2(64 - 16x + x ^ 2) 32 - 32x + 8x ^ 2 = 128 - 32x + 2x ^ 2 6x ^ 2 - 96 = 0 x ^ 2 - 16 = 0 (x + 4)(x - 4) = 0
x = - 4 y x = 4.
1. - x(2x 3) 3(5 x) = 83 2x² - 3x - 15 + 3x = 83 2x² - 98 = 0 x² - 49 = 0 (x + 7)(x - 7) = 0 x = 7 x = - 7
2.
- (2x + 5)(2x 5) = 11 4x² - 25 = 11 4x² - 36 = 0 (2x - 6)(2x + 6) = 0 igualando a o y despejando x x = 3 x = - 3
3.
- (7 + x)² + (7 x)² = 130 supongo que es asi 49 + 14x + x² + 49 - 14x + x² = 130 2x² - 32 = 0 x² - 16 = 0 (x - 4)(x + 4) = 0 x = 4 x = - 4
4.
- (2x 3)(3x 4) (x 13)(x 4) = 40 6x² - 17x + 12 - (x² - 17x + 52) = 40 6x² - 17x + 12 - x² + 17x - 52 - 40 = 0 5x² - 80 = 0 x² - 16 = 0 (x - 4)(x + 4) = 0 x = 4 x = - 4
5.
- (3x 4)(4x 3) (2x 7)(3x 2) = 214 12x² - 25x + 12 - (6x² - 25x + 14) = 214 12x² - 25x + 12 - 6x² + 25x - 14 - 214 = 0 6x² - 216 = 0 x² - 36 = 0 (x - 6)(x + 6) = 0 x = 6 x = - 6
8.
- (2 x)² = 2(8 x)² supong que es asi 4 - 4x + x² = 2(64 - 16x + x²) 4 - 4x + x² = 128 - 32x + 2x² x² - 28x - 124 = 0 aplicando la formula x = 31.
88 x = - 3.
8888
espero te sirva, saludos.