Question

Create a list of steps, in order, that will solve the following equation.

\[2\left(x+\dfrac{3}{4}\right)^2-5=123\]
Solution steps:

Answer 1

1. Add 5 to both sides: 2(x + 3/4)^2 = 128.
2. Divide both sides by 2: (x + 3/4)^2 = 64.
3. Take square roots: x + 3/4 = ±8.
4. Solve each case:
- x + 3/4 = 8 → x = 8 - 3/4 = 32/4 - 3/4 = 29/4.
- x + 3/4 = -8 → x = -8 - 3/4 = -32/4 - 3/4 = -35/4.

Solutions: x = 29/4 or x = -35/4.