Finite Math Examples

x^{2} + 2 x - 3 = 0

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

Step 1

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

b^{2} - 4 (a c)

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

Step 2

Substitute in the values of

a

$a$ ,

b

$b$ , and

c

$c$ .

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

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

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

2

$2$ to the power of

2

$2$ .

4 - 4 (1 \cdot - 3)

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

Step 3.1.2

Multiply

- 4 (1 \cdot - 3)

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

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Step 3.1.2.1

Multiply

- 3

$- 3$ by

1

$1$ .

4 - 4 \cdot - 3

$4 - 4 \cdot - 3$

Step 3.1.2.2

Multiply

- 4

$- 4$ by

- 3

$- 3$ .

4 + 12

$4 + 12$

4 + 12

$4 + 12$

4 + 12

$4 + 12$

Step 3.2

Add

4

$4$ and

12

$12$ .

16

$16$

16

$16$

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