How do you solve sqrt(3x + 1) = -10?

1 Answer
Aug 24, 2015

x=33

Explanation:

sqrt(3x+1)=-10

Square both sides of the equation.

(sqrt(3x+1))^2=(-10)^2

3x+1=100

Subtract 1 from both sides.

3x=100-1=

3x=99

Divide both sides by 3.

x=99/3=

x=33

Check the answer by substituting 33 for x.

sqrt(3x+1)=-10

sqrt(3*33+1)=-10

sqrt100=-10

(-10)^2=100

sqrt100=+-10, so 33 is a valid number for x.