Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (x - 4)3 + (2x - 5)3 + (x - 8)3 = (3x - 12) (2x - 5) (x - 8)

Find the value of x.

Options:

12

16

\(\frac{17}{4}\)

\(\frac{17}{2}\)

Correct Answer:

\(\frac{17}{4}\)

Explanation:

If a3 + b3 + c3 = 3abc

then a + b + c = 0

x - 4 + 2x - 5 + x - 8 = 0

4x = 17

x = \(\frac{17}{4}\)