Solve by Factoring x^2-12x=-11

$x^{2} - 12 x = - 11$

Add $11$ to both sides of the equation.

$x^{2} - 12 x + 11 = 0$

Factor $x^{2} - 12 x + 11$ using the AC method.

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 $11$ and whose sum is $- 12$ .

$- 11, - 1$

Write the factored form using these integers.

$(x - 11) (x - 1) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x - 11 = 0$

$x - 1 = 0$

Set $x - 11$ equal to $0$ and solve for $x$ .

Set $x - 11$ equal to $0$ .

$x - 11 = 0$

Add $11$ to both sides of the equation.

$x = 11$

Set $x - 1$ equal to $0$ and solve for $x$ .

Set $x - 1$ equal to $0$ .

$x - 1 = 0$

Add $1$ to both sides of the equation.

$x = 1$

The final solution is all the values that make $(x - 11) (x - 1) = 0$ true.

$x = 11, 1$

Solve by Factoring x^2-12x=-11

Related Questions

Support LCMGCF.com by disabling your adblocker.