# How do you find the discriminant x^2+3x+4?

${b}^{2} - 4 a c$ is the Discriminant.
in this example Discriminant$= - 7$

#### Explanation:

You have to define $a$, $b$, $c$ correctly with the correct algebraic sign

so that $a = 1$ and $b = 3$ and $c = 4$

Discriminant ${b}^{2} - 4 a c =$

${3}^{2} - 4 \cdot 1 \cdot 4 = 9 - 16 = - 7$

God bless....I hope the explanation is useful.