You can
put this solution on YOUR website!Solve equation for x.(Please step-by-step so i can undersatnd it thanks.)
sqrt(3x+54)+6=2
:
Step 1: Isolate the radical on the left side of the equation. Show your work.
+ 6 = 2
Subtract 6 from both sides
= 2 - 6
= -4; that isolates the radical on the left
:
Step 2: Square both sides of the equation from step 1. Show your work.
=
3x + 54 = 16; squaring a radical gets rid of it
:
Step 3: Solve the equation from step 2 for x. Show your work.
3x + 54 = 16
Subtract 54 from both sides
3x = 16 - 54
3x = -38
Divide both sides by 3
x =
x = -12
:
Step 4: Check your solution from step 3 in the original equation. Show your work.
Use
for substitution in the original equation
+ 6 = 2
note that the 3's cancel and we have
+ 6 = 2
:
+ 6 = 2
4 + 6 does not = 2, therefore there is no solution:
:
Step 5: State the solution for the equation sqrt(3x+54)+6=2. There is none
