Find the Discriminant x^2+10x+35=0

$x^{2} + 10 x + 35 = 0$

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

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

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

$10^{2} - 4 (1 \cdot 35)$

Evaluate the result to find the discriminant.

Simplify each term.

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

$100 - 4 (1 \cdot 35)$

Multiply $35$ by $1$ .

$100 - 4 \cdot 35$

Multiply $- 4$ by $35$ .

$100 - 140$

Subtract $140$ from $100$ .

$- 40$