Question 102153
(X+4)^1/2=X-6
SQRT(X+4)=X-6 NOW SQUARE BOTH SIDES:
X+4=X^2-12X+36
X^2-12X+36-X-4=0
X^2-13X+32=0
USING THE QUADRATIC EQUATION WE GET:{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
X=(13+-SQRT[13^2-4*1*32])/2*1
X=(13+-SQRT[169-128])/2
X=(13+-SQRT41])/2
X=(13+-6.4)/2
X=(13+6.4)/2
X=19.4/2
X=9.7 ANSWER.
X=(13-6.4)/2
X=6.6/2
X=3.3 ANSWER.