An algebra problem by Anup Kumar

Algebra Level 2

How many values of c in equation x 2 − 5 x + c x^{2}-5x+c result rational roots which are integers.

6 1 Infinite 3

Anup Kumar by Anup Kumar , 27, India

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

Justin Ruaya
Mar 11, 2018

If you factor a quadratic equation, you need to look for two factors n,m of c such that, when added, equals to -5. We know that -5= 1-6 = 2-7 = 3-8 = ... Then when you factor: (x+n)(x+m) That means, there are infinite possible solutions.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Anup Kumar
Jul 27, 2015

D=b^2- 4 a c >0 for rational roots D= (-5)^2-4 1 c > 0 hence values of c can be either positive or negative c=0,1,,2,3,4,5,-1,-2,-3,-4,-5... there is no unique values for c hence ans. will be infinite.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...