Question

(2x+3)²=125 find x
with full solution please​

Answer 1

x = ± ( 5√5 - 3 ) / 2

Explanation:

We are given the equation ( 2x + 3 )² = 125;

`( 2x + 3 )^( 2 ) = 125 - Take Square Root on Either Side,\\| 2x + 3 | = √( 125 ) - Simplify Square Root of 125,\\\\| 2x + 3 | = √( 5 * 25 ) - Simplify Further,\\| 2x + 3 | = 5√( 5 ) - Take | |,\\\\2x + 3 = 5√( 5 ) , and , 2x + 5 = - 5√( 5 ) - Algebra, \\2x = 5√( 5 ) - 3 , and , 2x = - 5√( 5 ) - 3 - Divide Either Side by 2\\\\x = ( 5√( 5 ) - 3 ) / 2, and , x = ( - 5√( 5 ) - 3 ) / 2\\Conclusion ; x = ( + / - 5√( 5 ) - 3 ) / 2`

Solution ; x = ± ( 5√5 - 3 ) / 2