MATH SOLVE

7 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)*(xΒ²+1)

In C, x=i ou x=-i

Zeros are 1/2,1,3,i,-i

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)*(xΒ²+1)

In C, x=i ou x=-i

Zeros are 1/2,1,3,i,-i