Question 470569
{{{ x + sqrt (x) = 42 }}}

{{{sqrt (x) = 42-x }}}

square both sides

{{{x= (42-x)^2}}}

{{{x= 42^2-84x+x^2}}}

{{{x^2-85x+1764}}}

Find the roots of the equation by quadratic formula							
							
a=	1	b=	-85	c=	1764		
							
b^2-4ac=	7225	-	-7056				
b^2-4ac=	169			{{{sqrt(	169	)}}}=	13
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}							
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}							
x1=(	85	+	13	)/	2		
x1=	49	    				
x2=(	85	-13	) /	2			
x2= 	36	

(49,36)		
m.ananth@hotmail.ca