An algebra problem by Yellow Tomato

Algebra Level 1

Solve for y assuming y is positive y 2 − 4 y − 8 = 5 y + 28 y^2 - 4y - 8= 5y+28


The answer is 12.

Yellow Tomato by Yellow Tomato , 17, USA

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2 solutions

Lew Sterling Jr
May 28, 2019

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y 2 − 4 y − 8 = 5 y + 28 y^2-4y-8=5y+28

y 2 − 9 y − 36 = 0 y^2-9y-36=0

Using the quadratic formula

y = − b ± b 2 − 4 a c 2 a = 9 ± 81 − 4 ( − 36 ) 2 = 9 2 + 15 2 = 24 2 = 12 y=\dfrac{-b \pm\sqrt{b^2-4ac}}{2a}=\dfrac{9\pm\sqrt{81-4(-36)}}{2}=\dfrac{9}{2}+\dfrac{15}{2}=\dfrac{24}{2}=\boxed{12}

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