Can you guys help me with my math homework?

Question

1. Find two numbers whose difference is 5 and the difference of their squares is 65.

2. One side of a rectangle is 1 m less than the other. If the area of a rectangle is 60 m2, what are its dimensions?

3. A man can row 8 km downstream and back in 6 hours. If the rate of the stream is 1 km per hour, what is the rate of the man rowing in still water?

Thanks in advance!! =)

For number 2, it is 60 meters squared or 60 square meters..

Answer 1

1. X^2-Y^2=(X+Y)*(X-Y)=(X+Y)*5=65
hence X+Y=13
X-Y=5
X=9, Y=4
(9-4=5, 81-16=65)

2. X*(X-1)=60
X^2-X-60=0
By solving the square equation and eliminating the negative solution, we get X=(sqrt(241)+1)/2
Since we took X to be the longer side, the length of the other side is X-1=(sqrt(241)-1)/2
You can verify that by multiplying X by X-1.

3. 8/(x+1)+8/(x-1)=6
8*(x-1)+8*(x+1)=6*(x-1)*(x+1)
16*x=6*x^2-6
solution of the square equation gives us x=3 km/h

Answer 2

9 and 4
7.26209m by 8.26209m to five sigfigs
2.64 km/hr

but hey, what do I know? it's probably wrong

Answer 3

1. 4,9
2. Are you sure that you gave us the correct question?