GMAT Practice Question: What is the larger of the 2 solutions of the equation x^{2}-4 x=96 ?
Question
What is the larger of the 2 solutions of the equation x^{2}-4 x=96 ?
- 8
- 12
- 16
- 32
- 100
Topics: quadratic equations
Solution
Step 1
We start by rewriting the given equation in the standard quadratic form
x^{2} - 4x - 96 = 0
Step 2
We then factor the quadratic expression into two binomials
(x - 12)(x + 8) = 0
Step 3
We set each factor equal to zero to find the two solutions
x = 12 \text{ or } x = -8
Answer
12
