2(x-1)^2-5=3 — step-by-step solution

Let's solve in

ℝ

2 \cdot {(x - 1)}^{2} - 5 = 3

ⓘ We add

5

to both sides

2 \cdot {(x - 1)}^{2} = 8

ⓘ Both sides are divided by

2

{(x - 1)}^{2} = 4

ⓘ The two numbers whose square is

4

are

-2

and

2

x - 1 = -2

ⓘ We add

1

to both sides

Solution obtained:

x = -1

x - 1 = 2

ⓘ We add

1

to both sides

Solution obtained:

x = 3

▶Solution:

x = {-1, 3}