Third Degree Equation

Algebra Level 1

Find the "x" values that satisfies te expression:

x 3 3 x 2 = 4 x 12 x^3-3x^2=4x-12

-4, 4 or 12 3, -2 or 4 -3, 3 or 2 -2, 2 or 3

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1 solution

Pranjal Jain
Feb 1, 2015

x 3 3 x 2 = 4 x 12 x 2 ( x 3 ) = 4 ( x 3 ) ( x 2 4 ) ( x 3 ) = 0 ( x + 2 ) ( x 2 ) ( x 3 ) = 0 x^3-3x^2=4x-12\\x^2(x-3)=4(x-3)\\(x^2-4)(x-3)=0\\(x+2)(x-2)(x-3)=0

x + 2 = 0 x = 2 x 2 = 0 x = 2 x 3 = 0 x = 3 x+2=0\Rightarrow x=-2\\x-2=0\Rightarrow x=2\\x-3=0\Rightarrow x=3

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