If (x-4)³+(x-9)³+(x-8)³=3(x-4)(x-9)(x-8), find the value of x. · ABC26GN0857

Subject: General Aptitude · Chapter: Simplification

If $(x-4)^{3}+(x-9)^{3}+(x-8)^{3}=3(x-4)(x-9)(x-8)$, find the value of $x$.

Answer

No answer key was printed for this question.

Explanation

If a3 + b3 + c3 = 3abc, then a + b + c = 0. So, we have: (x – 4) + (x – 9) + (x – 8) = 0 ⇒ 3x – 21 = 0 ⇒ 3x = 21 ⇒ x = 7.

Explanation as extracted from the printed page; notation may be imperfect.

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