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  • Express the roots of the equation 3x^2 = -2 (x+3) in a+bi form.

    Express the roots of the equation 3x^2 = -2 (x+3) in a+bi form.
    數(shù)學(xué)人氣:662 ℃時(shí)間:2020-05-12 08:38:07
    優(yōu)質(zhì)解答
    3x^2 = -2 (x+3)
    => 3x^2 = -2x - 6
    => 3x^2 +2x + 6 = 0
    roots = (-b+/-sqrt(b^2-4ac))/(2a)
    (-2+sqrt(4-72))/6
    = (-2+sqrt(-68)/6
    = (-2+sqrt(-17*4)/6
    = (-2+2*sqrt(17)i)/6
    roots = -1/3 + 1/3*sqrt(17)*i
    -1/3 - 1/3*sqrt(17)*i
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