Question 96430
2(X-5)^2=3
2(X^2-10X+25)=3
2X^2-20X+50-3=0
2X^2-20X+47=0
USING THE QUADRATIC EQUATION {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
WE GET:
X=(20+-SQRT[-20^2-4*2*47])/2*2
X=(20+-SQRT[400-376])/4
X=(20+-SQRT24)/4
X=(20+-4.9)/4
X=(20+4.9)/4
X=24.9/4
X=6.22 ANSWER.
X=(20-4.9)/4
X=15.1/4
X=3.77 ANSWER.