Calculate the discriminant to determine the number of real roots.

y = x^2 + 3x + 9

How many real roots does the equation have?

A.
two real roots

B.
one real root

C.
no real roots

D.
no solution to the equation

Question

Calculate the discriminant to determine the number of real roots.  
 
y = x^2 + 3x + 9
 
 
How many real roots does the equation have?
 
 A.
two real roots
 
 B.
one real root
 
 C.
no real roots
 
 D.
no solution to the equation

jacobbirddog · Answer

what is tat profile pic from? it looks so awesome (sorry for being that guy)

campbell_st · Answer

well the discriminant is 

$$\Delta = b^2 - 4ac$$

and is part of the general quadratic formula

so the conditions for the discriminant are

two unequal real roots

$$\Delta > 0$$

two equal roots

$$\Delta = 0$$

No real roots

$$\Delta < 0$$

in your question you have a = 1, b = 3 and c = 9

substitute and calculate the answer... 

then compare it to the conditions above to determine the types of roots.

hope it helps

anonymous · Answer

Thank you so much @campbell_st