Find the Discriminant x^2+14=7x

$x^{2} + 14 = 7 x$

Step 1

Subtract $7 x$ from both sides of the equation.

$x^{2} + 14 - 7 x = 0$

Step 2

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

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

Step 3

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

${(- 7)}^{2} - 4 (1 \cdot 14)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 7$ to the power of $2$ .

$49 - 4 (1 \cdot 14)$

Multiply $- 4 (1 \cdot 14)$ .

Multiply $14$ by $1$ .

$49 - 4 \cdot 14$

Multiply $- 4$ by $14$ .

$49 - 56$

Subtract $56$ from $49$ .

$- 7$