Question

¿cuál es la solución de la ecuación (x – 5)(x + 5) = (x + 10)2?

Answer 1

$(x - 5)(x + 5) = {(x + 10)}^{2}$

$(x - 5)(x + 5) = \\ \\ {x}^{2} - 5x + 5x - 25 = \\ \\ {x}^{2} - 25$

${(x + 10)}^{2} = (x + 10)(x + 10) = \\ \\ \\ {x}^{2} + 10x + 10x + 100 = \\ \\ \\ {x}^{2} + 20x + 100$

$- - - - - - - - - - - - - - - - - - -$

${x}^{2} - 25 = {x}^{2} + 20x + 100$

${x}^{2} - {x}^{2} - 20x = 100 + 25 \\ \\ \\ - 20x = 125 \\ \\ \\ x = 125 \div ( - 20) \\ \\ \\ x = - \frac{25}{4} = - 6.25$

espero haberte ayudado