Question

Solutions of x^2-2x=8

Answer 1

-√2

Explanation:

x² - 2x = 8 Apply the square root to both sides

√x² - 2x = √8 Divide both sides by -2

x = -√2

Extra info:

√8 = 2√2 = 2.828427125

-√2 = -1.414213562

Answer 2

`x = 4, x=2`

Explanation:

Step 1: Subtract 8 from both sides

`x^2 - 2x - 8 = 8 - 8`

`x^2 - 2x - 8 = 0`

Step 2: Factor

`x^2 - 2x - 8 = 0`

`x^2 - 4x + 2x - 8 = 0`

`(x - 4)(x + 2) = 0`

Step 3: Solve for x

`x - 4 + 4 = 0 + 4`

`x = 4`

`x + 2 - 2 = 0 - 2`

`x = -2`

Answer:
`x = 4, x=2`