Algebra Examples

5 - 2 m - 3 m^{2} = 0

$5 - 2 m - 3 m^{2} = 0$

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 m^{2} + b m + c

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

Step 1.2

Use the standard form of the equation to find

a

$a$ ,

b

$b$ , and

c

$c$ for this quadratic.

a = - 3

$a = - 3$ ,

b = - 2

$b = - 2$ ,

c = 5

$c = 5$

a = - 3

$a = - 3$ ,

b = - 2

$b = - 2$ ,

c = 5

$c = 5$

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{2}{3}

$- \frac{2}{3}$

- \frac{2}{3}

$- \frac{2}{3}$

Step 3

Substitute the values into the product of roots formula

\frac{c}{a}

$\frac{c}{a}$ .

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Step 3.1

Move the negative in front of the fraction.

- \frac{5}{3}

$- \frac{5}{3}$

- \frac{5}{3}

$- \frac{5}{3}$

Step 4

List the results.

Sum of the roots is

- \frac{2}{3}

$- \frac{2}{3}$

Product of the roots is

- \frac{5}{3}

$- \frac{5}{3}$