Find the Discriminant f(x)=6x^2+10x-1

$f (x) = 6 x^{2} + 10 x - 1$

Step 1

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Step 2

Substitute in the values of $a$ , $b$ , and $c$ .

$10^{2} - 4 (6 \cdot - 1)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $10$ to the power of $2$ .

$100 - 4 (6 \cdot - 1)$

Multiply $- 4 (6 \cdot - 1)$ .

Multiply $6$ by $- 1$ .

$100 - 4 \cdot - 6$

Multiply $- 4$ by $- 6$ .

$100 + 24$

Add $100$ and $24$ .

$124$