Question

f(x) = 4x2 + 2x + 6What is the value of the discriminant of f?

Answer 1

f(x) = 4x2 + 2x + 6

What is the value of the discriminant of f?

we know that

the formula to calculate the discriminant is equal to

$D=b^2-4ac$

In this problem we have

a=4

b=2

c=6

substitute the given values

$\begin{gathered} D=(2^2)-4(4)(6) \\ D=4-96 \\ D=-92 \end{gathered}$

the value of D is -92

that means

The quadratic equation has no real solutions