## anonymous 3 years ago Solve the equation by any method. x^(2)+√(5x)-2=0 Which method could I use for this problem?

1. kirbykirby

A good thing to do first would be to get rid of your square root by sending it to the other side of the equality, then square both sides

2. zepdrix

Hmm I'm not sure how you would approach this one... http://www.wolframalpha.com/input/?i=x%5E2%2B%285x%29%5E%281%2F2%29-2%3D0 If you go down to where it says "Real Solution:" Click the box that changes it to exact form, you'll see that the answer is crazy -_-

3. kirbykirby

LOL haha. Yeah indeed it appears this one would be tricky as @zepdrix has shown..

4. tkhunny

...unless you just wrote it incorrectly. Did you mean $$\sqrt{5}x$$ or did you REALLY mean $$\sqrt{5x}$$? Very different animals.

5. amoodarya

6. anonymous

Ah! Crap.... I wrote it wrong you where right @tkhunny its supposed to not include x in it. Thank you for pointing that out

7. tkhunny

Perfect. Did you try the Quadratic Formula?

8. amoodarya

9. anonymous

Okay I did that and I don't know. That radical is annoying me. Not sure if this is right but I got $\frac{ -\sqrt{5}\pm \sqrt{13} }{ 2 }$ ?

10. tkhunny

When you start with irrational coefficients, you should expect that. Only a miracle will clear it out to integers for you.

11. anonymous

Ah I got it right! Yay! Thank you everyone.