use the discriminant to determine whether the following equation have solutions that are : two different rational solutions : two different irrational solutions : exactly one rational solution : or two different imaginary solutions

7+5z^2=-8z

1 answer

rearrange to the more usual form:

5z^2 + 8z + 7 = 0
the discriminant is 8^2-4*5*7 < 0

So, what does that tell you about the roots?