Question 929231: one number is three more than three times another. their product is eight less than twice their sum. find the numbers.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! y = 3x + 3
xy = 2(x + y) - 8
x(3x + 3) = 2x + 2(3x + 3) - 8
3xx + 3x = 2x + 6x + 6 - 8
3xx - 5x + 2 = 0
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the above quadratic equation is in standard form, with a=3, b=-5 and c=2
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
3 -5 2
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the quadratic has two real roots at:
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x = 1
x = 0.66666666 = 2/3
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either root will work:
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x = 1
y = 3x + 3
y = 3*1 + 3
y = 6
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OR
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x = 0.66666666
y = 3x + 3
y = 3*0.66666666 + 3
y = 5
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answer:
x = 1
y = 6
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OR
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x = 2/3
y = 5
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