Question

Find the possible value or values of n in the quadratic equation 2n2 – 7n + 6 = 0. A. n = −2, n = −32 B. n = 32, n = 2 C. n = 6, n = 0 D. n = 1, n = 3

Answer 1

B. n = 3/2, n = 2.

Explanation:

2n^2 – 7n + 6 = 0

Use the ac method:-

2 * 6 = 12 , We need 2 numbers whose product is 12 and whose sum = -7.

They are -3 and - 4, so we write:-

2n^2 - 4n - 3n + 6 = 0

2n(n - 2) - 3(n - 2) = 0

(2n - 3)(n - 2) = 0

n = 3/2, 2.