Question 23
Quadratic EquationsSolve the equation (x − 2)(x − 3) = 12
- A.2, 3
- B.3, 6
- C.−1, 6
- D.1, −6
Show the answer and explanation
Answer: C (−1, 6)
Explanation
Expand: x2 − 5x + 6 = 12, so x2 − 5x − 6 = 0, i.e. (x − 6)(x + 1) = 0. So x = −1 or 6.
Solve the equation (x − 2)(x − 3) = 12
Answer: C (−1, 6)
Expand: x2 − 5x + 6 = 12, so x2 − 5x − 6 = 0, i.e. (x − 6)(x + 1) = 0. So x = −1 or 6.