SOLUTION: One number is 1 more than twice another. Their product is 1. Find the numbers Set 1: (lower values) (smaller value)= (larger value)= Set 2: (higher values) (smaller va

Question 440536: One number is 1 more than twice another. Their product is 1. Find the numbers
Set 1: (lower values)
(smaller value)=
(larger value)=
Set 2: (higher values)
(smaller value)=
(larger value)=
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x=2y+1
xy=1
y(2y+1)=1
2y^2+y=1
2y^2+y-1=0
2*-1=-2; 2 and -1 are factors of -2 whose sum is 1.
2y^2+2y-y-1=0
2y(y+1)-(y+1)=0
(2y-1)(y+1)=0
y=1/2, y=-1
.
Set 1: (lower values)
(smaller value)=-1
(larger value)=-1
Set 2: (higher values)
(smaller value)=1/2
(larger value)=2
.
Ed

RELATED QUESTIONS
One number is 1 more than twice another. Their product is 21. Find the numbers x and... (answered by Alan3354)

One number is nine more than twice another. If their sum is decreased by ten, the result... (answered by josmiceli)

One number is 1 more than 2 times another. Their product is 10. Find the numbers. (answered by Theo)

One Number is four more than another. Their sum is sixteen , find both numbers.... (answered by checkley79)

One number is 1 more than twice another. Their product is 36. Find the numbers x and y.... (answered by sofiyac)

One number is 40 more than twice another. Their product is 40 more than twice their sum.... (answered by macston)

Find two numbers such that the larger is one more than twice the smaller and their... (answered by ewatrrr)

One number is twice the other number. The larger of the two numbers is 25 more than 1/3th (answered by mananth)

One number is 1 more than 2 times another. Their product is 7 more than 3 times their... (answered by MathLover1)