Question

Resolver la siguiente escuacion:
$x ^{2} + (x + 2)^{2} = 580$
Ayudaaaa como le hago​

Answer 1

Explicación paso a paso:

${x}^{2} + {(x + 2)}^{2} = 580$

${x}^{2} + ( {x}^{2} + 4x + 4) = 580$

$2 {x}^{2} + 4x + 4 = 580$

$2( {x}^{2} + 2x+ 2) = 580$

${x}^{2} + 2x + 2 = 290$

${x}^{2} + 2x + 2 - 290 = 0$

${x}^{2} + 2x - 288 = 0$

$(x + 18)(x - 16) = 0$

x+18 = 0 ➡️x= -18

x-16 = 0 ➡️ x = 16

Las raíces son:

x1 = -18

x2 = 16