Algebra Examples

$4 x^{2} - 12 x + 9 = 0$

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 $c$ .

${(- 12)}^{2} - 4 (4 \cdot 9)$

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 $- 12$ to the power of $2$ .

$144 - 4 (4 \cdot 9)$

Step 3.1.2

Multiply $- 4 (4 \cdot 9)$ .

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Step 3.1.2.1

Multiply $4$ by $9$ .

$144 - 4 \cdot 36$

Step 3.1.2.2

Multiply $- 4$ by $36$ .

$144 - 144$

Step 3.2

Subtract $144$ from $144$ .

$0$