How many real number solutions does the equation have?

y=-4x^2+7x-8

A. no solutions
B. one solution
C. two solutions
D. infinitely many solutions

I think it is C..?

How many real number solutions does the equation have?

y=2x^2-20x+50

A. no solutions
B. one solution
C. two solutions
D. infinitely many solutions

I think it is B..?

2 answers

check the discriminant
#1: b^2-4ac < 0, so no solutions
#2: b^2-4ac = 0, so one solution
Thank you