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Let $a\star b = \frac{\sqrt{a+b}}{a}$. If $ x \star 24 = 7$, find $x$.

 Aug 4, 2021
 #1
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√(x + 24) / x = 7

 

√(x + 24) = 7x

square both sides

x + 24 = 49x^2

49x^2 - x - 24 = 0

x = (1 + √(1^2 + 4*24*49)) / 2*49 

 Aug 4, 2021

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