Question

Which method is the most efficient method to use to solve x^2+6x-7=0?

A) Using the quadratic formula

B) Factoring

C) Isolating the x^2 term and finding the square root of both sides

D) All three methods would be efficient

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

B

Step-by-step explanation:

In my opinion factoring is the better approach here

Given

x² + 6x - 7 = 0 ← in standard form

Consider the factors of the constant term (- 7) which sum to give the coefficient of the x- term (+ 6)

The factors are + 7 and - 1, since

7 × - 1 = - 7 and + 7 - 1 = 6, hence

(x + 7)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 1 = 0 ⇒ x = 1