Algebra Examples

$2 x^{2} - x + 5 = 0$

Step 1

Find $a$ , $b$ , and $c$ .

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Step 1.1

Once the quadratic is in standard form, the values of $a$ , $b$ , and $c$ can be found.

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

Step 1.2

Use the standard form of the equation to find $a$ , $b$ , and $c$ for this quadratic.

$a = 2$ , $b = - 1$ , $c = 5$

Step 2

List the results.

Sum of the roots is $\frac{1}{2}$

Product of the roots is $\frac{5}{2}$