5
Answer: BSet 5: Quadratic Equations (Intermediate)
Explanation
PROBLEM
Solve: x squared - 10x + 24 = 0. Find the larger root.
Solve: x squared - 10x + 24 = 0. Find the larger root.
A.
7
B.✓ Correct
6
C.
4
D.
5
Detailed Explanation
Choice B is the best answer. Factor: (x - 6)(x - 4) = 0. Roots are 6 and 4. Larger: 6
Why others are wrong:
A: 7 is incorrect because it does not satisfy the equation.
C: 4 is incorrect because it does not satisfy the equation.
D: 5 is incorrect because it does not satisfy the equation.