Question

For what value of x is...

The square of the binomial x+1 one hundred and twenty greater than the square of the binomial x-3?

Answer 1

Lets , find the value of x :

`→(x + 1)² = (x - 3)² + 120`

`→x² + 2x + 1 = x² - 6x + 9 + 120`

`→2x + 6x = 129 - 1`

`→8x = 128`

`→x = (128)/(8)`

`→x = 6`

Answer 2

• x = 6

Explanation:

Set the equation and solve for x:

• (x + 1)² = (x - 3)² + 120
• x² + 2x + 1 = x² - 6x + 9 + 120
• 2x + 6x = 129 - 1
• 8x = 128
• x = 128/8
• x = 6