Question #5843

Find the roots of 5x^6+4x^5+4x^3-61x^2-48x+12=0

Expert's answer

5x^6+4x^5+4x^4+4x^3-61x^2-48x+12=0

we check all numbers that divide 12/5 so

we get -1 and 1/5 roots of equation

then we divide polinomial on (x+1)(5x-1)

we get x^4+x^2-12=0 we see that it is biquadratic equation so x^2=-4, x^2=3 and

get x=+ or - sqrt(3), x=+ or - 2i

we check all numbers that divide 12/5 so

we get -1 and 1/5 roots of equation

then we divide polinomial on (x+1)(5x-1)

we get x^4+x^2-12=0 we see that it is biquadratic equation so x^2=-4, x^2=3 and

get x=+ or - sqrt(3), x=+ or - 2i

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