Choose the correct answer

1) ax²+bx+c=0, a>0, b=0,c>0 has

a) 2 equal roots

b )one real root

c) two distinct real roots

d) no real roots

 d) no real roots.

If an equation is ax²+bx+c=0, then D = b² - 4ac
and if D>0, then the eq. has real and distinct roots.
if D = 0 , then the eq. has 2 equal real roots.
and if D<0 , then the eq. has no real roots.

D = b² - 4ac
    = (0 x 0) - 4ac
    = -4ac
Given is that a>0 and c>0 , which means that D = negative.
So, the given equation has no real roots.