Real Deal

Algebra Level pending

The number of real solutions for x x in

( x 2 + x 2 ) 3 + ( 2 x 2 x 1 ) 3 = 27 ( x 2 1 ) 3 (x^{2} + x - 2)^{3} + (2x^{2} - x - 1)^{3} = 27(x^{2} - 1)^{3}


The answer is 4.

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1 solution

{x == -2 || x == -1 || x == -1/2 || x == 1, x={-2., ±1., -0.5}}

I think you should prove it as solution reader might want to look upon for method rather than answer.

Pranjal Jain - 6 years, 6 months ago

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