Question

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

Answer 1

2(x+3/4)^2 -5 =123
2(x+3/4)^2 -5+5 =123+5
2(x+3/4)^2 =128
1/2×2(x+3/4)^2 =1/2×128
(x+3/4)^2 =64
$(x+3/4) = \sqrt{64}$
$(x+3/4) = \sqrt{ {8}^{2} }$
(x+3/4) = 8
(x) = 8-3/4
(x) =( 32-3)/4
x = 29/4

Answer 2

Answer:

x = -8.75; x = 7.25

Step-by-step explanation:

                                                         2(x + ¾)² - 5 = 123

1. Add 5 to each side:                     2(x+ ¾)² = 128
2. Divide each side by 2:                   (x+ ¾)² = 64
3. Take the square root of each side: x + ¾ = 8       x + ¾ = -8
4. Subtract ¾ from each side:                     x = 8 - ¾        x = -8 - ¾
5. Convert to decimal fraction:                    x = 8 - 0.75    x = -8 – 0.75  
6. Subtract:                                                   x = 7.25           x = -8.75

The graph of your equation is a parabola with x-intercepts at x = -8.75

and x = 7.25.