SOLUTION: Find two integers whose product is 105 such that one of the integers is one more than twice the other integer.

Question 965436: Find two integers whose product is 105 such that one of the integers is one more than twice the other integer.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
x and y are the integers
x=2y+1
xy=105 Substitute for x
(2y+1)(y)=105 Subtract 105 from each side
2y^2+y-105=0

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=841 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7, -7.5. Here's your graph:

y=7 ANSWER 1: One of the integers is 7
x=2y+1=2(7)+1=14+1=15 ANSWER 2: The other integer is 15

RELATED QUESTIONS
Find two integers whose product is 105 such that one of the integers is one more twice... (answered by nerdybill)

Find two integers whose product is 84 such that one of the integers is 2 more than twice... (answered by richwmiller)

Find two integers whose product is 104 such that one of the integers is three less than... (answered by rfadrogane)

I need help solving this math problem : Find two integers whose product is 77 such... (answered by stanbon)

Find two integers whose product is 299 such that one of the integers is three less than... (answered by Alan3354)

Find two integers whose product is 405 such that one of the integers is three less than... (answered by ikleyn)

Find two integers whose product is 408 such that one of the integers is five less than... (answered by ewatrrr)

Find two integers whose product is 100 such that one of the integers is three less than... (answered by checkley79)

Find two integers whose product is 186 such that one of the integers is five less than... (answered by Alan3354)