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Find the zeros (roots) of the following equations. f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
10 months ago
Q:
Find the zeros (roots) of the following equations. f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
Accepted Solution
A:
Hello,
f(1)=2-9+12-12+10-3=0 ===>(x-1)*....
f(3)=2*3^5-9*3^4+12*3^3-12*3^2+10*3-3=0 ===> (x-3)*....
f(1/2)=2*(1/2)^5-9*(1/2)^4+12*(1/2)^3-12*(1/2)^2+10*1/2-3=0 ===>(2x-1)*...
f(x)=(x-1)(x-3)*(2x-1)*(x²+1)
In C, x=i ou x=-i
Zeros are 1/2,1,3,i,-i