If (2x - 7)3 + (2x – 8)3 + (2x - 3)3 = 3 (2x - 7) (2x - 8) (2x - 3), then what is the value of x?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 3
|
Concept |
Understanding |
Application |
|
If (a3 + b3 + c3) = 3abc Then (a + b + c) = 0 |
Given (2x - 7)3 + (2x – 8)3 + (2x –3)3 = 3 (2x – 7) (2x – 8) (2x –3) If we suppose: (2x – 7) = a (2x – 8) = b (2x –3) = c |
The equation will turn out to be: (a3 + b3 + c3) = 3abc Then (a + b + c) = 0 Or (2x – 7 + 2x – 8 + 2x – 3) = 0 ⇒ 6x = 18 ⇒ x = 3 |