Solve for u u^2-u-2=0

$u^{2} - u - 2 = 0$

Step 1

Factor $u^{2} - u - 2$ 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 $- 2$ and whose sum is $- 1$ .

$- 2, 1$

Write the factored form using these integers.

$(u - 2) (u + 1) = 0$

Step 2

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

$u - 2 = 0$

$u + 1 = 0$

Step 3

Set $u - 2$ equal to $0$ and solve for $u$ .

Set $u - 2$ equal to $0$ .

$u - 2 = 0$

Add $2$ to both sides of the equation.

$u = 2$

Step 4

Set $u + 1$ equal to $0$ and solve for $u$ .

Set $u + 1$ equal to $0$ .

$u + 1 = 0$

Subtract $1$ from both sides of the equation.

$u = - 1$

Step 5

The final solution is all the values that make $(u - 2) (u + 1) = 0$ true.

$u = 2, - 1$

Solve for u u^2-u-2=0

Related Questions

Support LCMGCF.com by disabling your adblocker.