How to use the square root property to solve this equation ( 2 x + 3 ) 2 = 25 ?

Question

How to use the square root property to solve this equation                     (        2        x        +        3        )            2        =    25  ?

Mikaela Horn · Accepted Answer

By obtaining the square root of both terms on either side of the equation, the square root property is demonstrated.
Doing the same for the specified equation

\sqrt{{(2 x + 3)}^{2}} = \sqrt{25}

\sqrt{25} = \pm 5

So,

\sqrt{{(2 x + 3)}^{2}} = \pm 5

(2 x + 3) = \pm 5

First solution:

2 x + 3 = + 5

Isolating

x

2 x + 3 - 3 = + 5 - 3

2 x = 2

x = 1

Second solution:

2 x + 3 = - 5

Isolating

x

2 x + 3 - 3 = - 5 - 3

2 x = - 8

x = - 4

How to use the square root property to solve this equation ( 2 x +...

Answered question

Answer & Explanation