What is x^3-10x^2+16x=0?

2008-04-14 9:40 am
I am asked to "solve" for these type of equations, I think I may be doing it correctly but this one gave me some problems. I do appreciate your answers (and would like it if you could give me the steps to solve it as well!). Really, I do appreciate it!

回答 (3)

2008-04-14 9:43 am
✔ 最佳答案
x³ - 10x² + 16x = 0
x(x² - 10x + 16) = 0
x(x² - 8x - 2x + 16) = 0
x(x(x-8) - 2(x-8)) = 0
x(x-2)(x-8) = 0

x = {0, 2, 8}
2008-04-14 4:44 pm
x^3 - 10x^2 + 16x = 0
x(x^2 - 10x + 16) = 0
x(x - 8)(x - 2) = 0

x = 0

x - 8 = 0
x = 8

x - 2 = 0
x = 2

∴ x = 0 , 8 , 2
2008-04-14 4:43 pm
Factor
x(x² - 10x + 16) = 0
The factors of x² - 10x + 16 is (x - 8)(x - 2)
x(x - 8)(x - 2) = 0
x1 = 0
x - 8 = 0
x2 = 8
x - 2 = 0
x3 = 2


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