SOLUTION: The product of two consecutive even integers is 12 less than 6 times their sum

Question 927057: The product of two consecutive even integers is 12 less than 6 times their sum
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
xy = 6(x + y) - 12
y = x + 2
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xy = 6x + 6y - 12
x(x + 2) = 6x + 6(x + 2) - 12
xx + 2x = 6x + 6x + 12 - 12
xx + 2x = 12x
xx - 10x = 0
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the above quadratic equation is in standard form, with a=1, b=-10 and c=0
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -10 0
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
---
x = 10
x = 0
---
answer:
x = 10
y = 12
OR
x = 0
y = 2
---
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---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
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