Question

If 2x2+13x-7=0 then x could be equal to which of the following

Answer 1

x = - 7, x =
`(1)/(2)`

Explanation:

Given

2x² + 13x - 7 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 7 = - 14 and sum = + 13

The factors are + 14 and - 1

Use these factors to split the x- term

2x² + 14x - x - 7 = 0 ( factor the first/second and third/fourth terms )

2x(x + 7) - 1(x + 7) = 0 ← factor out (x + 7) from each term

(x + 7)(2x - 1) = 0

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
`(1)/(2)`