SOLUTION: find three consecutive odd positive integers such that 2 times the sum of all three is 7 more than the product of the first and second integers

Question 814774: find three consecutive odd positive integers such that 2 times the sum of all three is 7 more than the product of the first and second integers
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
j = i + 2
k = i + 4
2(i + j + k) = ij + 7
---
2i + 2(i + 2) + 2(i + 4) = i(i + 2) + 7
2i + 2i + 4 + 2i + 8 = ii + 2i + 7
ii - 4i - 5 = 0
---
the above quadratic equation is in standard form, with a=1, b=-4, and c=-5
---
to solve the quadratic equation, plug this:
1 -4 -5
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
the roots of the quadratic are:
5
-1
the problem rules outlaw the negative root, so:
---
Answer:
i = 5
j = 7
k = 9
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
Find three consecutive odd positive integers such that 2 times the sum of all three is 7... (answered by CubeyThePenguin)

Find three consecutive odd positive integers such that two times the sum of all three is... (answered by edjones)

Find three consecutive odd positive integers such that 5 times the sum of all three is 66 (answered by josgarithmetic,MathTherapy)

Find three consecutive odd positive integers such that five times the sum of all three... (answered by josgarithmetic)

find three consecutive odd positive integers such that 5 times the sum of all three is 42 (answered by sachi)

find three consecutive odd positive integers such that 2 times the sum of all three is... (answered by ankor@dixie-net.com)

what are three consecutive odd positive integers such that 5 times the sum of all three... (answered by CubeyThePenguin)

Find three consecutive positive odd integers such that 4 times the sum of all three... (answered by stanbon)

Help please Find three consecutive odd positive integers such that 2 times the sum of... (answered by josgarithmetic,MathTherapy)