Question

Solutions of x^2-2x=8

Answer 1

Answer:

-√2

Step-by-step 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

Answer:

$x = 4, x=2$

Step-by-step 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:  $x = 4, x=2$