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

Weston Leonard

Weston Leonard

Answered question

2023-03-02

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

Answer & Explanation

Mikaela Horn

Mikaela Horn

Beginner2023-03-03Added 6 answers

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
( 2 x + 3 ) 2 = 25
25 = ± 5
So,
( 2 x + 3 ) 2 = ± 5
( 2 x + 3 ) = ± 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

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