Question 829661: Please help me solve this equation:
The product of two consecutive odd integers is equal to 30 more than the first. Find the integers.
Thank you!
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
y = x + 2
xy = x + 30
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xy = x + 30
x(x + 2) = x + 30
xx + 2x = x + 30
xx + x - 30 = 0
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the above quadratic equation is in standard form, with a=1, b=1, and c=-30
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 1 -30
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 5
x = -6
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the negative root doesn't fit the problem statement, so use the positive root:
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solution:
x = 5
y = 7
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