Last Updated on May 5, 2023
We start by simplifying the given equation, (4-x)/(2+x) = x. We first multiply both sides by 2+x. Thus we have:
4 – x = x(2 + x)
4 – x = 2x + x^2
4 = 3x + x^2
x^2 + 3x – 4 = 0
Before moving any further we note that we are not being asked for the value of x but rather the value of x^2 + 3x – 4.
So see that x^2 + 3x – 4 = 0.
Answer: C
Scott Woodbury-Stewart is the founder & CEO of Target Test Prep. A passionate teacher who is deeply invested in the success of his students, Scott began his career teaching physics, chemistry, math, and biology. Since then, he has spent more than a decade helping students gain entry into the world’s top business schools, logging 10,000+ hours of GMAT, EA, GRE and SAT instruction. Scott also served as lead content developer and curriculum architect for the revolutionary courses Target Test Prep GMAT, Target Test Prep EA, Target Test Prep GRE and Target Test Prep SAT Quant.
