Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
2x2 + 6x – 7 = 0

Question

Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
2x2 + 6x – 7 = 0

anonymous · Answer

$$2x ^{2} + 6x - 7?$$

kinggeorge · Answer

Do you know what the discriminant is?

anonymous · Answer

Yeah, sorry just clarifying what the function is.

kinggeorge · Answer

Do both these names belong to the same person? 

Anyways, calculate the discriminant. In this the discriminant is $6^2-4(2)(-7)=36+56=92$  Since this is positive, it must have two real roots. However, since 92 isn't a perfect square, the two roots must be irrational.