Gwen was asked to solve 3x2−20=7%0D%0A3%0D%0A%0D%0A2%0D%0A−%0D%0A20%0D%0A=%0D%0A7%0D%0A by factoring using the difference of squares pattern. What is/are the correct solution(s)?

1 answer

To solve the equation by factoring using the difference of squares pattern, we first need to rewrite the equation in the form of (a² - b²) = 0.

Given: 3x² - 20 = 7

Rearranging the equation, we have: 3x² = 27

Dividing both sides by 3, we get: x² = 9

Taking the square root on both sides, we have: x = ±3

Therefore, the correct solutions are x = 3 and x = -3.