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

Question

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

kirbykirby · Answer

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

zepdrix · Answer

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 -_-

kirbykirby · Answer

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

tkhunny · Answer

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

amoodarya · Answer

attachment

anonymous · Answer

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

tkhunny · Answer

Perfect.  Did you try the Quadratic Formula?

amoodarya · Answer

Quadratic Formula

anonymous · Answer

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

tkhunny · Answer

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

anonymous · Answer

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