Question

Solve for x
x - 8 = sqrt2x+8

Answer 1

x=4

Explanation:

to get rid of the square root on the right you square both sides so

2x+8=x^2

Then bring

2x+8

to the left so you have 0=(x^2)−2x+8

Now you can do the quadratic formula to find the zeroes

Answer 2

• x = {14, 4}

Explanation:

Given equation:

• x - 8 = √2x+8

Square both sides

• (x - 8)² = (√2x+8)²
• x² - 16x + 64 = 2x + 8
• x² - 18x + 56 = 0
• x² - 2*9x + 81 = 25
• (x - 9)² = 5²
• x - 9 = ± 5
• x = 9 ± 5
• x = 14 or x = 4