Question 373133: I have to do a project and find two irrational solutions of:
4x^2+bx+25
The project also tells us to solve for: two imaginary solutions, two rational solutions, and one rational solution too, and the only one I solved was the one rational solution.
can you please help! I am completely stumped!
Thank you for your help :)
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Use the discriminant,
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When  , two real solutions.
When and equals a perfect square(1,4,9,16,...), then the solutions are rational solutions.
When and does not equal a perfect square(1,4,9,16,...), then the solutions are irrational solutions.
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When  , one real solution.
When and equals a perfect square(1,4,9,16,...), then the solution is a rational solution.
When and does not equal a perfect square(1,4,9,16,...), then the solutions is an irrational solution.
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When  , two complex solutions.
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Now solve for  in each of those cases.
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