SOLUTION: One number is one less than twice another, and the difference between their squares is 16. Find the numbers

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Question 980893: One number is one less than twice another, and the difference between their squares is 16. Find the numbers
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
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x=one number; y=other number
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=196 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3, -1.66666666666667. Here's your graph:

y=3 or y=-1.67
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For y=3:
x=2y-1=2(3)-1=6-1=5
ANSWER 1: The numbers are 5 and 3
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For y=-1.67:
x=2y-1=2(-1.67)-1=-4.34
ANSWER 2: The numbers are -1.67 and -4.34
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