Algebra Examples

$x^{2} - 11 x + 19 = - 5$

Step 1

Add $5$ to both sides of the equation.

$x^{2} - 11 x + 19 + 5 = 0$

Step 2

Add $19$ and $5$ .

$x^{2} - 11 x + 24 = 0$

Step 3

Factor $x^{2} - 11 x + 24$ using the AC method.

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Step 3.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $24$ and whose sum is $- 11$ .

$- 8, - 3$

Step 3.2

Write the factored form using these integers.

$(x - 8) (x - 3) = 0$