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Algebra Level 2

If x 2 6 x = 6 x^2 - 6x = 6 ,

Determine the exact value of x 3 7 x 2 + 2015 x^3 - 7x^2 + 2015 .


The answer is 2009.

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1 solution

Efren Medallo
Jun 19, 2015

x 3 7 x 2 + 2015 x^3 - 7x^2 + 2015

= x ( x 2 7 x ) + 2015 = x(x^2 - 7x) + 2015

= x ( x 2 6 x x ) + 2015 = x( \boxed{x^2 - 6x} -x) + 2015

= x ( 6 x ) + 2015 = x(6 - x) + 2015

= ( x 2 6 x ) + 2015 = -(x^2 - 6x) + 2015

= 6 + 2015 = -6 + 2015

= 2009 = \boxed {2009}

Please don't forget to reshare. Thanks!

Great question!!

Heitor Vinícius - 5 years, 2 months ago

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