Question

How do I solve this equation and check the solutions?

Answer 1

Answer: x = -10 or 2

Step-by-step explanation:

Given:

√20 - 8x = x

Step 1: Square √20 - 8x

(√20 - 8x)² = (x)²

20 - 8x = x²

Now we can solve the problem

Step 2: Move 20 - 8x to the other side

20 - 8x = x²

-20 + 8x   - 20 + 8x

0 = x² + 8x - 20

This is a quadratic equation

Step 3: Factor the quadratic equation

10(-2) = -20 and 10 - 2 = 8

So our factors are 10 and -2

(x + 10)(x - 2) = 0

Step 4: Create a FOIL equation

For this equation to be true, x would have to make either one of the parenthysis equal to zero

(x + 10)(x - 2)

x = -10 x = 2

10 - 10 equals zero, and -2 + 2 equals zero, so those are your answers.

Answer 2

Answer:

x=2

Step-by-step explanation: