Question

I need help with steps of solving this equation.

Answer 1

Answer:

x = {-1/5, 1}

Step-by-step explanation:

(5x - 2)² - 1 = 8

Add 1 to both sides

(5x - 2)² = 9

Take the square root of both sides

5x - 2 = ±3

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Solution I for 5x - 2 = +3

5x - 2 = 3

add 2 to both sides

5x = 5

Divide both sides by 5

x = 1

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Solution II for 5x - 2 = -3

5x - 2 = -3

add 2 to both sides

5x = -1

Divide both sides by 5

x = -1/5

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x = {-1/5, 1}