Find the difference

Algebra Level 2

Given that f ( x ) = 4 x 3 2 x 2 + 5 9 3000 f(x) = 4x^3 - 2x^2 + 59^{3000} , find f ( 4 ) f ( 1.5 ) f(4) - f(1.5) .


The answer is 215.

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1 solution

Ralph James
Nov 6, 2016

f ( 4 ) f ( 1.5 ) = 4 ( 4 3 ) 2 ( 4 2 ) + 5 9 300 ( 4 ( 1.5 ) 3 + 2 ( 1.5 ) 2 + 5 9 300 ) f(4) - f(1.5) = 4(4^3)-2(4^2)+59^{300}-(4(1.5)^3+2(1.5)^2 + 59^{300})

256 32 13.5 + 4.5 + 5 9 300 5 9 300 = 215 \implies 256 - 32 - 13.5 + 4.5 + 59^{300}-59^{300} = \boxed{215}

Correction : that should 256 not 216

Daniel Sugihantoro - 4 years, 7 months ago

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Thank you! I have edited my solution :)

Ralph James - 4 years, 7 months ago

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