Irrational equation

Algebra Level 3

What is the sum of the real solutions for the following equation: x 2 + x + 5 = 2 + x 2 + x − 11 ? \sqrt{x^2+x+5}=2+\sqrt{x^2+x-11}?


The answer is -1.

Sandeep Mehra by Sandeep Mehra , 23, India

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2 solutions

Bhanu Prakash A
Apr 27, 2014

just squaring on both sides

2 Helpful 0 Interesting 0 Brilliant 0 Confused

You can try substituting value of x with 4 which solves the issue.....

Vamshidhar Reddy Palla - 6 years, 11 months ago
Akshay Sonu
May 4, 2014

Square on both sides, then use the formula to find the sum of roots that is -b/a, hence the answer is -1

0 Helpful 0 Interesting 0 Brilliant 0 Confused

You can try substituting value of x with 4 which solves the issue.....

Vamshidhar Reddy Palla - 6 years, 11 months ago

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