## anonymous 5 years ago find solutions for x: sqrt{x^2-11=5}

1. anonymous

$\sqrt{x^2-11=5}$

2. anonymous

you mean $\sqrt{x^2-11} =5$ most likely

3. anonymous

sqaure both sides x^2 -11 = 25 x^2 = 36 x= +- 6

4. anonymous

BUT

5. anonymous

it has no solutions

6. anonymous

because if you put either +6 or -6 into the LHS you end up needing to take the sqrt of a negative

7. anonymous

so , has no real solutions

8. anonymous

you need to check your answers by subbing in if you ever have a sqaure root or a logarithm or divide by a variable