SOLUTION: 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. Ste

Algebra ->  Rational-functions -> SOLUTION: 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. Ste      Log On


   



Question 194819: Solve equation for x.(Please step-by-step so i can undersatnd it thanks.)
sqrt%283x%2B54%29%2B6=2
Step 1: Isolate the radical on the left side of the equation. Show your work.
Step 2: Square both sides of the equation from step 1. Show your work.
Step 3: Solve the equation from step 2 for x. Show your work.
Step 4: Check your solution from step 3 in the original equation. Show your work.
Step 5: State the solution for the equation sqrt%283x%2B54%29%2B6=2.


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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.
sqrt%283x%2B54%29 + 6 = 2
Subtract 6 from both sides
sqrt%283x%2B54%29 = 2 - 6
sqrt%283x%2B54%29 = -4; that isolates the radical on the left
:
Step 2: Square both sides of the equation from step 1. Show your work.
%28sqrt%283x%2B54%29%29%5E2 = %28-4%29%5E2
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 = %28-38%29%2F3
x = -122%2F3
:
Step 4: Check your solution from step 3 in the original equation. Show your work.
Use -38%2F3 for substitution in the original equation
sqrt%283%28-38%2F3%29%2B54%29 + 6 = 2
note that the 3's cancel and we have
sqrt%28-38%2B54%29 + 6 = 2
:
sqrt%2816%29 + 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