Mathematics
skyler123
43

what are the roots of the polynomial equation x3-7x=6x-12? Use a graphing calculator and a system of equations.

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(1) Answers
Betsaidac

x3-7x=6x-12 x3-7x-6x+12=0 x3-13x+12=0 (x-1)(x2+x-12)=0 Calculate delta of the second bracket: delta = 1+4*12=49 sqrt(delta)=sqrt(49)=7 x_1=(-1-7)/2=-4 x_2=(-1+7)/2=3 (x-1)(x+4)(x-3)=0 Answear: Roots: x=1, x=-4, x=3.

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