## anonymous 5 years ago solve equation by taking square roots: k^2+76 how do i do that?

1. anonymous

This is not an equation. In equations, there must be an equality sign.

2. anonymous

the plus was supposed to be =, sorrry. k^2=76

3. anonymous

if the plus sign was an equals sign: the square root of k^2 is k. so k= sqrt of 76. which is 8.717797887....

4. anonymous

But if you're asking about $$k^2+76=0$$ then it has no real solution.

5. anonymous

OK then, NK got the answer for you :D.

6. anonymous

$k^2=76 \implies k=-\sqrt{76}, k=\sqrt{76}$

7. anonymous

So two solutions.

8. anonymous

so how would you get the answer for k^2=16? ...

9. anonymous

K can have two values; $$k=4$$ or $$k=-4$$

10. anonymous

do you just find the square root of the last number?

11. anonymous

Yep, and take both positive and negative values.

12. anonymous

so x2=21 is 4.58.... or no? :(

13. anonymous

Exactly $$x=4.58$$ or $$x=-4.58$$ :)