An algebra problem by Paul Ryan Longhas

Algebra Level 3

How many pairs of integers ( x , y ) (x,y) satisfy the equation 9 x 2 + 3 y = 85 9x^2 + 3y=85 ?

infinitely many solution 0 1 2 4 3

Paul Ryan Longhas by Paul Ryan Longhas , 24, Philippines

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.

2 solutions

Paul Ryan Longhas
Feb 28, 2015

9 x 2 + 3 y = 85 9x^2+3y =85 = > 3 ( 3 x 2 + y ) = 85 => 3(3x^2+y)=85 Since 85 is not divisible by 3, there is no integral solution.

Therefore, 0 is the answer

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Hem Shailabh Sahu
Apr 14, 2015

9 x 2 + 3 y = 85 ⇒ 3 ( 3 x 2 + y ) = 5 ∗ 17 9x^2+3y=85 \Rightarrow 3(3x^2+y)=5*17

As L.H.S. is a multiple of 3, and R.H.S. is not, NO Integer Pair satisfies the given relation. Therefore, 0 \boxed{0} is the answer. :)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...