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# Functional Operations

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

Feb 14, 2021

#1
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Since we know that a*b = √(a + b) / √(a - b), all we need to do is replace x for a and 24 for b.

x*24 = √(x + 24) / √(x - 24) = 7

√(x + 24) = 7√(x - 24)
(x + 24) = 49(x - 24)
x + 24 = 49x - 1176
24 + 1176 = 49x - x
1200 = 48x

x = 25

Feb 14, 2021
#2
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Why don't the moderators do something to protect weaker students from idiots ?

Feb 14, 2021