<PRE><B>Question 468239</B>
the distance from the base of the wall to the base of the ladder =x

wall touching height = 3x+3

Ladder =25 feet

{{{x^2+(3x+3)^2=25^2}}}

{{{x^2+9x^2+18x+9=625}}}

{{{10x^2+18x-616=0}}}

Find the roots of the equation by quadratic formula					
					
a=	10	,b=	18	,c=	-616
					
b^2-4ac=	324	+	24640		
b^2-4ac=	24964				
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}					
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}					
{{{x1=(-12+sqrt(24))/(12)}}}					
x1=(	-18	+	158	)/	20
x1=	7				
x2=(	-18	-158	) /	20	
x2= 	-8.8				
Ignore negative value					
7 feet from wall
3x+3 =24 feet ladder touching the wall</PRE>