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Define \(a * b\) as \(2a - b^2\). If \(a * 5 = 9\), what is the value of \(a\)?

 Jul 21, 2018
 #1
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a * b  = 2a  - b^2

 

So

 

a * b  = a * 5  = 9

 

So...this implies that  b  = 5

 

So we have

 

2a - b^2 =  9

 

2a  - (5)^2   = 9

 

2a  - 25  = 9   add 25 to both sides

 

2a  =  34         divide both sides by 2

 

a  = 17

 

 

cool cool cool

 Jul 21, 2018
edited by CPhill  Jul 21, 2018

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