Finite Math Examples

$9 x^{2} - 3 x - 10 = - 4$

Step 1

Move all terms to the left side of the equation and simplify.

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Step 1.1

Add $4$ to both sides of the equation.

$9 x^{2} - 3 x - 10 + 4 = 0$

Step 1.2

Add $- 10$ and $4$ .

$9 x^{2} - 3 x - 6 = 0$

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 $c$ .

${(- 3)}^{2} - 4 (9 \cdot - 6)$

Step 4

Evaluate the result to find the discriminant.

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Step 4.1

Simplify each term.

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Step 4.1.1

Raise $- 3$ to the power of $2$ .

$9 - 4 (9 \cdot - 6)$

Step 4.1.2

Multiply $- 4 (9 \cdot - 6)$ .

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Step 4.1.2.1

Multiply $9$ by $- 6$ .

$9 - 4 \cdot - 54$

Step 4.1.2.2

Multiply $- 4$ by $- 54$ .

$9 + 216$

Step 4.2

Add $9$ and $216$ .

$225$