Use a graphing calculator and a system of equations to find the roots of the equation. x4 − 4×3 = 6×2 − 12x From least to greatest, what a

Question

Use a graphing calculator and a system of equations to find the roots of the equation. x4 − 4×3 = 6×2 − 12x From least to greatest, what are the integral roots of the equation?

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    0
    2022-01-11T22:14:11+00:00

    Answer:

    Roots of equation: (-\sqrt{3}+3) (0) (-2) (-\sqrt{3}-3 )

    Integral roots : -2,0

    Step-by-step explanation:

    We have given that equation is  x^4-4x^3 -6x^2+12x

    now, we solve the equation to find roots

    x^4-4x^3 -6x^2+12x=0

     (x) (x+2) (x^2-6x+6)

    we divide x^4-4x^3 -6x^2+12x by (x^2-6x+6)

    -(-x+\sqrt{3}+3) (x+\sqrt{3}-3 ) (x) (x+2)

    we can clearly see the two roots through attached graph

    From least to greatest : (x+2) (x) -(-x+\sqrt{3}+3) (x+\sqrt{3}-3 )

    Roots of equation: (-\sqrt{3}+3) (0) (-2) (-\sqrt{3}-3 )

    Integral roots : -2,0

    0
    2022-01-11T22:14:22+00:00

    The answer is -2 and 0

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