Question 736351
canoe 	speed	x   	mph														
current     	speed	2	kph														
																	
against	current     	x-	2	mph													
with	current     	x+	2	mph													
																	
Distance=	8	miles															
																	
Time against + time with  =			5 1/3	hours													
t=d/r																	
																	
8	/(	x   	+	2	)	+	8	/(x	-	2	)	=	5 1/3				
																	
LCD =	(x	-	2	)	(	x   	+	2	)								
8	*(	x   	-	2	)	+	8	(x	+	2	)	=	5 1/3	(x^2	-	4	)
8	x   	-	-16	+	8	x   	+	16		=	5 1/3	(	x ^2		-	4	)
16	x   	=	5 1/3	x ^2		-21.33											
5 1/3	x ^2	-	-16	x   	-	21.33											
																	
Find the roots of the equation by quadratic formula																	
																	
a=	5 1/3	,	b=	-16	,	c=	-21.33										
																	
b^2-4ac=	256	+	455.04														
b^2-4ac=	711.04																
{{{	sqrt(	711.04	)=	26.67	}}}												
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}																	0
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}											1.33						
x1=(	16	+	26.67	)/	10.67												
x1=	4.00																
{{{x2=(-b-sqrt(b^2-4ac))/(2a)}}}																	
x2=(	16	-26.67	) /	10.67													
x2=	-1.00																
Ignore negative value																	
canoe 	speed	4.000	mph														
																	
m.ananth@hotmail.ca																	
																	
										canoe 	speed	x   	mph														
current     	speed	2	kph														
																	
against	current     	x-	2	mph													
with	current     	x+	2	mph													
																	
Distance=	8	miles															
																	
Time against + time with  =			5 1/3	hours													
t=d/r																	
																	
8	/(	x   	+	2	)	+	8	/(x	-	2	)	=	5 1/3				
																	
LCD =	(x	-	2	)	(	x   	+	2	)								
8	*(	x   	-	2	)	+	8	(x	+	2	)	=	5 1/3	(x^2	-	4	)
8	x   	-	-16	+	8	x   	+	16		=	5 1/3	(	x ^2		-	4	)
16	x   	=	5 1/3	x ^2		-21.33											
5 1/3	x ^2	-	-16	x   	-	21.33											
																	
Find the roots of the equation by quadratic formula																	
																	
a=	5 1/3	,	b=	-16	,	c=	-21.33										
																	
b^2-4ac=	256	+	455.04														
b^2-4ac=	711.04																
{{{	sqrt(	711.04	)=	26.67	}}}												
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}																	0
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}											1.33						
x1=(	16	+	26.67	)/	10.67												
x1=	4.00																
{{{x2=(-b-sqrt(b^2-4ac))/(2a)}}}																	
x2=(	16	-26.67	) /	10.67													
x2=	-1.00																
Ignore negative value																	
canoe 	speed	4.000	mph														
																	
m.ananth@hotmail.ca																	
																	
																	
canoe 	speed	x   	mph														
current     	speed	2	kph														
																	
against	current     	x-	2	mph													
with	current     	x+	2	mph													
																	
Distance=	8	miles															
																	
Time against + time with  =			5 1/3	hours													
t=d/r																	
																	
8	/(	x   	+	2	)	+	8	/(x	-	2	)	=	5 1/3				
																	
LCD =	(x	-	2	)	(	x   	+	2	)								
8	*(	x   	-	2	)	+	8	(x	+	2	)	=	5 1/3	(x^2	-	4	)
8	x   	-	-16	+	8	x   	+	16		=	5 1/3	(	x ^2		-	4	)
16	x   	=	5 1/3	x ^2		-21.33											
5 1/3	x ^2	-	-16	x   	-	21.33											
																	
Find the roots of the equation by quadratic formula																	
																	
a=	5 1/3	,	b=	-16	,	c=	-21.33										
																	
b^2-4ac=	256	+	455.04														
b^2-4ac=	711.04																
{{{	sqrt(	711.04	)=	26.67	}}}												
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}																	0
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}											1.33						
x1=(	16	+	26.67	)/	10.67												
x1=	4.00																
{{{x2=(-b-sqrt(b^2-4ac))/(2a)}}}																	
x2=(	16	-26.67	) /	10.67													
x2=	-1.00																
Ignore negative value																	
canoe 	speed	4	mph														
																	
m.ananth@hotmail.ca