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If $(x - 1.5)^3 + ( x - 4)^3 + (x - 3.5)^3 = 3 ( x - 1.5)(x - 4)( x - 3.5)$, then what is the value of x ? |
1 3 6 9 |
3 |
Given, (x - 1.5)3 + (x - 4)3 + (x - 3.5)3 = 3 (x - 1.5) (x - 4) (x - 3.5) We know that, If a3 + b3 + c3 = 3abc then, (a +b + c) = 0 (x - 1.5) + (x - 4) + (x - 3.5) = 0 = 3x - 9 = 0 = 3x = 9 = x = 3 |
