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f(x)=(-4x^2+239)/(x-5(13+(4x^2+69)^(1/2)))−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

−4x2+239x−5⋅(13+4x2+69)\frac{-4x^2+239}{x-5\cdot\left(13+\sqrt{4x^2+69}\right)}

Step-by-step Solution

Learn how to solve problems step by step online. Simplify the expression (-4x^2+239)/(x-5(13+(4x^2+69)^(1/2))). Expand. Divide -4x^2+239 by x-65-5\sqrt{4x^2+69}. Resulting polynomial. Combine all terms into a single fraction with x-5\left(13+\sqrt{4x^2+69}\right) as common denominator.
Simplify the expression (-4x^2+239)/(x-5(13+(4x^2+69)^(1/2)))

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Final answer to the exercise

1439−4x2+240x+204x2+69x+1004x2+69x−65−54x2+69\frac{1439-4x^2+240x+20\sqrt{4x^2+69}x+100\sqrt{4x^2+69}}{x-65-5\sqrt{4x^2+69}}

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−4x2+239x−5·(13+√4x2+69) 
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