Easy inequality polynomial

Algebra Level 2

2 x 2 + 2 x + 2 x = 6 x 2 2x^2 + 2x + 2x = 6x^2

Is it true that the equation above is an algebraic identity?

No, it is false Yes, it is true

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1 solution

Blan Morrison
Feb 12, 2018

2 x 2 + 2 x + 2 x = 6 x 2 2x^2 + 2x + 2x = 6x^2 2 x + 2 x = 4 x 2 2x+2x=4x^2 4 x = 4 x 2 4x=4x^2 x = x 2 x=x^2 x 2 x = 0 x^2-x=0 x ( x 1 ) = 0 x(x-1)=0 x = 0 ; x 1 = 0 x=0;~x-1=0 x = 0 ; x = 1 x=0;~x=1 The only valid solutions are where x = 1 or 0 x=1~\text{or}~0 . This equation is sometimes true, but not always true. Therefore, the correct answer is False .

But it's not always false.

Fahim Muhtamim - 1 year, 7 months ago

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