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January 9th, 2013, 12:44 PM   #1
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simplify equation to get a quadratic equation

Hi,

I'm doing some revision an I have the solution to the question however some steps are missing which is the problem. The two following steps are all I have and I'm stuck trying to solve it:

if I have the equation: 0.049 = 0.051 (57.46 / (25.34y + 27.87 +5.76y^2))

how do I come up with the quadratic of 0.28y^2 + 1.24y - 1.56 = 0

Any help would be really appreciated!

Thanks Michael
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January 9th, 2013, 01:06 PM   #2
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Re: simplify equation to get a quadratic equation

0.049 = 0.051 * 57.46/(5.76y + 25.34y + 27.87)

49/51 = 57.46/(5.76y + 25.34y + 27.87)

49(5.76y + 25.34y + 27.87) = 2930.46

282.24y + 1241.66y + 1365.63 = 2930.46

282.24y + 1241.66y - 1564.83 = 0.

Divide by 1000 and round to two decimal places:

0.28y + 1.24y - 1.56 = 0
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January 9th, 2013, 01:19 PM   #3
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Re: simplify equation to get a quadratic equation

If you don't end up with y = ~1.0226 or y = ~-5.4219 then try again!!
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January 9th, 2013, 01:22 PM   #4
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Re: simplify equation to get a quadratic equation

That's great thanks!
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