Create a list of steps, in order, that will solve the following equation. 2(x+3/4)^2-5=123

Question

asked Jan 19, 2021 156k views

2 Answers

Felixmosh · Answer 1 · 2021-01-24T11:05:59+0000

Explanation:

2(x+(3)/(4))^2-5=123

1. Add 5 to both sides.

5+2(x+(3)/(4))^2-5=123+5

2(x+(3)/(4))^2=128

2. Divide both sides by 2.

(2(x+(3)/(4))^2 )/(2)=(128)/(2)

(x+(3)/(4) )^2=64

3. Take the square root of both sides.

$\sqrt[]{(x+(3)/(4))^2 } =\sqrt[]{64}$

x+(3)/(4)=8

4. Subtract
(3)/(4) from both sides.

-(3)/(4)+x+(3)/(4)=8-(3)/(4)

x=8-(3)/(4)

x=((8)(4)-3)/(4)

x=(32-3)/(4)

x=(29)/(4)