Question

hallar el valor de x 1/4(x+6)²-(4x+8)=(x-6)²

Answer 1

$\frac{1}{4} ( {x + 6)}^{2} - (4x + 8) = {x - 6}^{2} \\ \frac{1}{4} ( {x }^{2} + 12 + 36) - 4x - 8 = {x}^{2} - 12x + 36 \\ {x}^{2} + 12x + 36 - 16x - 32 = 4 {x}^{2} - 48x + 144 \\ {x}^{2} - 4 {x}^{2} - 4x + 48x + 4 - 144 = 0 \\ - 3 {x}^{2} + 44x - 140 = 0 \\ 3 {x}^{2} - 44x + 140 = 0$

(3x-4)(x-10)=0
3 x- 4= 0 x - 10 = 0
x=4/3 x = 10