Algebra Examples

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

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

Step 1

Find

a

$a$ ,

b

$b$ , and

c

$c$ .

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Step 1.1

Once the quadratic is in standard form, the values of

a

$a$ ,

b

$b$ , and

c

$c$ can be found.

a x^{2} + b x + c

$a x^{2} + b x + c$

Step 1.2

Use the standard form of the equation to find

a

$a$ ,

b

$b$ , and

c

$c$ for this quadratic.

a = 2

$a = 2$ ,

b = 3

$b = 3$ ,

c = - 2

$c = - 2$

a = 2

$a = 2$ ,

b = 3

$b = 3$ ,

c = - 2

$c = - 2$

Step 2

Substitute the values into the sum of roots formula

- \frac{b}{a}

$- \frac{b}{a}$ .

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Step 2.1

Move the negative in front of the fraction.

- \frac{3}{2}

$- \frac{3}{2}$

- \frac{3}{2}

$- \frac{3}{2}$

Step 3

Substitute the values into the product of roots formula

\frac{c}{a}

$\frac{c}{a}$ .

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Step 3.1

Divide

- 2

$- 2$ by

2

$2$ .

- 1

$- 1$

- 1

$- 1$

Step 4

List the results.

Sum of the roots is

- \frac{3}{2}

$- \frac{3}{2}$

Product of the roots is

- 1

$- 1$