Question

(2x+1)² + (2x+3)power 2=290​

Answer 1

Answer:

5,-7

Step-by-step explanation:

by expanding the équation

$4 {x}^{2} + 1 + 4x + 4 {x}^{2} + 9 + 12x = 290$

then solve

$8 {x}^{2} + 16x - 280 = 0$

take 8 common

then

${x}^{2} + 2x - 35 = 0$

by solving

${x}^{2} + 7x - 5x - 35 = 0$

$x(x + 7) - 5(x + 7) = 0$

$(x + 7)(x - 5) = 0$

then x=5,-7