SOLUTION: 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 ratio

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,

.
.
.
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.
.
.
.
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.
.
.
.
When , two complex solutions.
.
.
.
Now solve for in each of those cases.

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