Algebra Examples

$3 x^{2} - 7 x + 1 = 0$

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 $c$ .

${(- 7)}^{2} - 4 (3 \cdot 1)$

Step 3

Evaluate the result to find the discriminant.

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Step 3.1

Simplify each term.

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Step 3.1.1

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

$49 - 4 (3 \cdot 1)$

Step 3.1.2

Multiply $- 4 (3 \cdot 1)$ .

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Step 3.1.2.1

Multiply $3$ by $1$ .

$49 - 4 \cdot 3$

Step 3.1.2.2

Multiply $- 4$ by $3$ .

$49 - 12$

Step 3.2

Subtract $12$ from $49$ .

$37$