how many real number solutions are there to the equation y=5x^2+2x-12

Question

how many real number solutions are there to the equation y=3x^2+18x+27

Can somebody tell me how to get the solutions?

Answer 1

b^2-4ac = 4 + 20*12
positive so two real roots

b^2-4ac = 324 -4(3)(27) = 324-324 = 0
so two identical real number roots (the graph just grazes the x axis)

Answer 2

ok I get that one

Answer 3

is this the answers for both of them?

Answer 4

I decline to answer on the grounds that you can figure that out.