SOLUTION: The product of two numbers is 24. Find the numbers if one number is 2 more than the other.

Question 927376: The product of two numbers is 24. Find the numbers if one number is 2 more than the other.

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
xy = 24
y = x + 2
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xy = 24
x(x + 2) = 24
xx + 2x - 24 = 0
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the above quadratic equation is in standard form, with a=1, b=2 and c=-24
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 2 -24
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
---
x = 4
x = -6
---
using either root works fine for this problem:
x = 4
y = 6
OR
x = -6
y = -4
---
answer:
the longest dimension of the rectangle = 12 cm
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Solve and graph linear equations:
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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:
https://sooeet.com/math/system-of-linear-equations-solver.php
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