Question

How many real-number solutions does the equation have?

–7x2 + 6x + 3 = 0 (1 point)
one solution
two solutions
no solutions
infinitely many solutions

Answer 1

a quadratic equation can have at most 2 solutions. to check you need to calculate discriminant:
D=b^2-4ac
in your case:
D=36-4.-7.3
D=36+4.7.3>0
so your equation has 2 solutions.
if D=0 it would have had 1
if D < 0 none
real solutions i am talking about

so your answer is 2

Answer 2

thank you. I was really confused on how to even start it. Thanks for the explanation.