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If x + 2 = (x + 11)/(x + 3) then x^2 + 4x - 5 = [#permalink]

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20 Mar 2018, 10:37

Top Contributor

Gladiator59 wrote:

If x + 2 = (x + 11)/(x + 3) then x² + 4x - 5 =

A. -11 B. -5 C. 0 D. 1 E. 2

GIVEN: x + 2 = (x + 11)/(x + 3) Multiply both sides by (x+3) to get: (x + 3)(x + 2) = x + 11 Use FOIL to expand left side: x² + 5x + 6 = x + 11 Subtract x from both sides to get: x² + 4x + 6 = 11 Subtract 11 from both sides to get: x² + 4x - 5 = 0

QUESTION: What is the value of x² + 4x - 5? Well, x² + 4x - 5 = 0