lil bit tricky

Algebra Level 5

Let a,b,c be real and positive parameters hence find number of value's of x x satisfying the equation a + b x + b + c x + c + a x = b − a x + c − b x + a − c x \sqrt{a+bx}+\sqrt{b+cx}+\sqrt{c+ax}=\sqrt{b-ax}+\sqrt{c-bx}+\sqrt{a-cx}

4 5 none of these 6 3 7 0 1

Atul Shivam by Atul Shivam , 23, 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.

1 solution

Atul Shivam
Oct 19, 2015

You can see that their is increasing function of x x in LHS and decreasing function of x x in RHS then their will be only one value of x x which will satisfy the condition which is 0 0 and no other value.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

which theorem is that ?

Raven Herd - 5 years, 7 months ago

Log in to reply

sorry my mistake it wasn't a theorem but a well stated statement

Atul Shivam - 5 years, 7 months ago

Log in to reply

Alright but still what is the proof of of it,incase it pops up again in future.

Raven Herd - 5 years, 7 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...