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Thread: Two equations with 3 variables

  1. #1
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    Two equations with 3 variables

    aqn-1+aqn+aqn+1=21.5

    aqn * aqn-1 * aqn+1 =27

    answers
    q= 1/6

    I tried to use common factor and divide to two equation on eachothers
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  2. #2
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    Re: Two equations with 3 variables

    Second equation yields $a^3q^{3n}=3^3 \implies aq^n=3$

    $\dfrac{3}{q}+3+3q=21.5 \implies 6-37q+6q^2=0$

    $(6q-1)(q-6)=0 \implies q=\dfrac{1}{6}$ or $q=6$
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  3. #3
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    Re: Two equations with 3 variables

    From Integer looper (dumb code): a=3, q=6, n=0
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