Question

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

Answer 1

Step-by-step explanation:

$2(x+\frac{3}{4})^2-5=123$

1. Add 5 to both sides.

$5+2(x+\frac{3}{4})^2-5=123+5$

$2(x+\frac{3}{4})^2=128$

2. Divide both sides by 2.

$\frac{2(x+\frac{3}{4})^2 }{2}=\frac{128}{2}$

$(x+\frac{3}{4} )^2=64$

3. Take the square root of both sides.

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

$x+\frac{3}{4}=8$

4. Subtract $\frac{3}{4}$ from both sides.

$-\frac{3}{4}+x+\frac{3}{4}=8-\frac{3}{4}$

$x=8-\frac{3}{4}$

$x=\frac{(8)(4)-3}{4}$

$x=\frac{32-3}{4}$

$x=\frac{29}{4}$