Question

Resolver: (x + 5)(x - 5) = (x - 3)²-16​

Answer 1

Respuesta:

(x + 5)(x - 5) = (x - 3)²-16​

Proceso:

$x^{2}-25=x^{2} -6x+9-16\\x^{2}-25=x^{2} -6x-7\\Sumamos +25. En Ambos lados\\x^{2}-25+25=x^{2} -6x-7+25\\Eliminamos. -25, +25\\x^{2}=x^{2} -6x+18\\Restamos x^{2}-6 . En Ambos lados\\x^2-\left(x^2-6x\right)=x^2-6x+18-\left(x^2-6x\right)\\6x=18\\\frac{6x}{6}=\frac{18}{6}\\x=3$

:D