Question

Here is the problem:
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. 2x^2 + 6x -7 =0
Here is my work:
2x^2 +6x-7=0
a=2 b=6 c=-7
b^2-4ac
=6^2 -4*2*-7
=36-4*2*-7
=36-8*-7
=36+56
=92

Answer 1

Since your discriminant is positive, you have two different rational solutions

Answer 2

Thank you!