An algebra problem by Aiden Turpin

Algebra Level pending

X X and Y Y are real numbers. X ( 9 + 4 ) = 52 X(9+4)=52 and Y 4 = 81 Y^4=81 . What is ( X Y ) 2 (XY)^2

Hint: Y Y is less than X X


The answer is 144.

View wiki
Aiden Turpin by Aiden Turpin , 19, 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

Pranjal Jain
Jan 17, 2015

13 X = 52 ⇒ X = 4 Y 4 = 81 ⇒ Y = ± 3 13X=52\Rightarrow X=4\\Y^4=81\Rightarrow Y=\pm 3

( X Y ) 2 = ( ± 12 ) 2 = 144 (XY)^2=(\pm12)^2=144

0 Helpful 0 Interesting 0 Brilliant 0 Confused

@Aiden I have edited LaTeX in your solution! Please check it for accuracy.

Pranjal Jain - 6 years, 4 months ago

X = 4 . right? thanks.

Nihar Mahajan - 6 years, 4 months ago

Log in to reply

Yeah! Typo! Thanks!

Pranjal Jain - 6 years, 4 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...