Question

solve √x+5 = 2x+3 using formula ​

Answer 1

---> $\sqrt{x + 5} = 2x + 3$

---> $x + 5 = {(2x + 3)}^{2}$

---> $x + 5 = 4 {x}^{2} + 9 + 12x$

---> $4 {x}^{2} + 9 + 12x - x - 5 = 0$

---> $4 {x}^{2} + 11x + 4 = 0$

---> $4 {x}^{2} + 8x + 2x + 4 = 0$

---> $4x(x + 2) + 2(x + 2) = 0$

---> $(4x + 2)(x + 2) = 0$

---> $4x + 2 = 0 \: \: \: \: \: \: \: x + 2 = 0$

---> $4x = - 2 \: \: \: \: \: \: \: x = - 2$

---> $x = - \frac{ 2}{4} \: \: \: \: \: x = - 2$

---> $x = - \frac{1}{2} \: \: \: \: \: x = - 2$