SOLUTION: two positive numbers are consecutive even integers. if the square of the smaller increased by 3 times the larger is 34, find the positive integers.

Question 824428: two positive numbers are consecutive even integers. if the square of the smaller increased by 3 times the larger is 34, find the positive integers.
Found 2 solutions by TimothyLamb, FightinBlueHens:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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y = x + 2
xx + 3y = 34
xx + 3(x + 2) = 34
xx + 3x + 6 = 34
xx + 3x - 28 = 0
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the above quadratic equation is in standard form, with a=1, b=3, and c=-28
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 3 -28
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two real roots (the x-intercepts), which are:
x = 4
x = -7
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the negative root doesn't abide by this problem's statement, so use the positive root:
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answer:
x = 4
y = 6
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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
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
Answer by FightinBlueHens(27) (Show Source): You can put this solution on YOUR website!

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