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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 5, 2021

#1
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x must be 25 since sqrt(25+24) = sqrt(49) = 7, and sqrt(25-24) = sqrt(1) =1.

Feb 6, 2021
#2
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I am not familiar with this notation.

Feb 6, 2021
#3
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This is just defining the operator *.

You replace a by x, b by 24 and the result by 7 so:

Alan  Feb 6, 2021
#4
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Thanks Alan

Melody  Feb 6, 2021
#5
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note that 7-24-25 is a pythagorean triple

Feb 6, 2021