Two Equations, 2 Variables!!!

Algebra Level 2

a b \frac{a}{b} = ( b + 8 ) (b + 8) and ( b + 3 ) 2 (b + 3)^{2} + ( b − 2 ) (b - 2) = a a

Calculate the cube-root of 2 a − 79 b 2a - 79b


The answer is -7.

Ashwin Padaki by Ashwin Padaki , 20, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Michael Davis
Aug 16, 2015

I solved for b. Setting the two expressions involving b equal. b^2+8b= b^2+7b+7 gives b=7. Then I plugged in b^2+7b+7 for a in the expression 2a-79b and then I plugged in 7. This gives you -343 which when you cube root is -7

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...