Question 349602
Hi,
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Yes! getting one radical by itself is the first step.
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{{{sqrt ( x - 2 ) + 3 = sqrt ( 4x + 1 ) }}}
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SQUARING BOTH SIDES OF THE EQUATION
{{{(x-2) +6 sqrt ( x - 2 ) + 9 = 4x + 1  }}}
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isolating radical on one side of the equation once again
{{{6 sqrt ( x - 2 )= 3x -6  }}}
{{{3 sqrt ( x - 2 )= x -2 }}}
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SQUARING BOTH SIDES OF THE EQUATION
{{{9(x-2)= x^2 - 4x +4 }}}
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Simplify and Solve or x
{{{0= x^2 - 13x +22 }}}
factor
(x-11)(x-2)=0
x = 2 or 11