Question
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)?
Answers
GPT 3.5
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.
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.