how to solve this equation?

2009-01-24 9:56 am
0= - 3y^3 + 4500y^2 - 8.0946x10^6 y + 3.024x10^9
y=?

plz help~

回答 (1)

2009-01-25 5:46 pm
✔ 最佳答案
You can solve this equation by the Cardano's method.
See:http://en.wikipedia.org/wiki/Cubic_equation
In this particular case, the equation has two complex roots and one real root, which is:
y=453.2911945309205
check:
substitute y0=453.2911945309205 into
f(y)=- 3*y^3 + 4500*y^2 - 8.0946*10^6*y + 3.024*10^9
gives f(y0)=7.6*10^-6


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