4(2x-3)=6x+2 Please can someone give me the working out and answer?

Question

4(2x-3)=6x+2
Please can someone give me the working out and answer?

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Delwyn 1 month 2021-08-03T12:55:29+00:00 1 Answers 5 views 0

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    2021-08-03T12:57:12+00:00

    Answer:

    The roots are

    x=±√3,1±√6i

    Step-by-step explanation:

    (x2+a)(x2bx+c)=0

    Multiply the two quadratics.

    x4+bx3+(a+c)x2+abx+ac=0

    Comparing terms gives.

    b=−2,a+c=4,ab=6,ac=−21

    We have

    b=−2, ab=6

    means that

    a=−3.

    now:

    a+c=4 means c=7.

    Verify with the last term

    ac=−3⋅7=−21.

    So the equation factorises to.

    (x2−3)(x2−2x+7)=0

    Factorise each term to give the roots.

    x2−3=0, is x2=3, roots x=±√3×2−2x+7=0

    complete the square

    (x−1)2=−6

    gives complex roots

    x=±√6i

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )