If 3x - 1 = 11, what is the value of x 2 + x?

The first equation tells you, after some rearrangement, that x = 4. Use that value of x to evaluate x^2 + x

isolate x first by adding one to both sides

you should get 3x=12
divide both sides by 3 to get x=4
then substitute and get
(4)^2 + 4

To find the value of x^2 + x, we need to first find the value of x. Let's solve the equation 3x - 1 = 11 to find the value of x.

Step 1: Add 1 to both sides of the equation to isolate the term with x:
3x - 1 + 1 = 11 + 1
3x = 12

Step 2: Divide both sides of the equation by 3 to solve for x:
(3x) / 3 = 12 / 3
x = 4

Now that we have the value of x, we can substitute it into the expression x^2 + x to find the value.

x^2 + x = (4)^2 + 4
= 16 + 4
= 20

So the value of x^2 + x when 3x - 1 = 11 is 20.