Question 466400
first part	59	miles													
second part	25	miles													
															
speed in first part	x			mph											
speed second part	x		-5	mph											
Total rowing time		5	hours												
Time first part		59	/	x											
Time second part	25	/	(	x	-5	)								
															
Time first part + time second part =	5	hours			
59/x+25	/(x-5)=	5			
LCD =	x*(x-5)							
multiply the equation by the LCD															
we get															
59*(x-5)+25x=	5			
59x-295	+25x=5x^2-25x
84x-295=5X^2										
5x^2-84x+295=	0							
5x^2-84x+295=0									
/	5														
x^2-16.8x+59=0									
															
Find the roots of the equation by quadratic formula			
a=	1	b=	10	c=	-9191				
b^2-4ac=	100	-	36764												
b^2-4ac=	36864	
{{{sqrt(36864)}}}=192								
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}															
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}															
x1=(-10	+192)/	2										
x1=	91														
x2=(	-10	-192	) /	2											
x2= 	-101														
Ignore negative value															
x=91mph	First part
86 mph second part									
m.ananth@hotmail.ca