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Calculus1 21 Online
OpenStudy (anonymous):

please help! write a quadratic with a fractional and irrational solution and please solve!

zepdrix (zepdrix):

Hey c: Hmm, thinking..

zepdrix (zepdrix):

Let's start with the solutions, that might be an easier way to form our quadratic. How bout we let the first solution be: \(\Large\rm x=\dfrac{1}{2}\) That will take care of the fractional solution. This question is a little confusing.. since it's a quadratic, it will have two solutions. So I was going to do one fractional and one irrational solution. But maybe it makes more sense to come up with solutions which are both fractional and irrational. Mmmmm...

zepdrix (zepdrix):

Ok ok ignore what I said before, let's try this instead maybe. \(\Large\rm x^2+3x+1=0\)

OpenStudy (anonymous):

okay i understand that its just that when i try an irrational..

OpenStudy (anonymous):

can you simplify this equation further

zepdrix (zepdrix):

Understand that taking the `square root` of any number that is NOT a `perfect square`, results in an irrational number.

zepdrix (zepdrix):

So you're trying to get something that is NOT a perfect square for your discriminant.

OpenStudy (anonymous):

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