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