Question 546035: The product of two numbers is 90. One number is 3 more than twice the other number. Use quadratics to determine what the numbers are. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The product of two numbers is 90. One number is 3 more than twice the other number. Use quadratics to determine what the numbers are.
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Equations:
xy = 90
x = 2y+3
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Substitute and solve:
(2y+3)y = 90
2y^2+3y-90 = 0
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y = [-3 +- sqrt(9-4*2*-90)]/4
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Positive solution:
y = [-3 + sqrt(729)]/4
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y = [24/4]
y = 6
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Solve for "x":
x = 2y+3
x = 15
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Cheers,
Stan H.
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