Step 1 :Isolate the square root on the left hand side :
Original equation
12 = 19-√3x-11
Isolate
√3x-11 = -12+19
Tidy up
√3x-11 = 7
Step 2 :Eliminate the radical on the left hand side :
Raise both sides to the second power
(√3x-11)2 = (7)2
After squaring
3x-11 = 49
Step 3 :Solve the linear equation :
Rearranged equation
3x -60 = 0
Add 60 to both sides
3x = 60
Divide both sides by 3
A possible solution is :
x = 20
Step 4 :Check that the solution is correct :
Original equation, root isolated
√3x-11 = 7
Plug in 20 for x
√3•(20)-11 = 7
Simplify
√49 = 7
Solution is:
x = 20
One solution was found :
x = 20
