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Thread: How to solve this equation with two variables?

  1. #1
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    Unhappy How to solve this equation with two variables?

    S5= a(q5-1)/q-1 =242

    S10-S5= a(q10-1)/q-1 - a(q5-1)/q-1 = 58806

    Tip: I think dividing the equation on each others would be easier to solve
    Last edited by Mustafashama; Jun 10th 2017 at 08:49 PM.
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  2. #2
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    Re: How to solve this equation with two variables?

    Quote Originally Posted by Mustafashama View Post
    S5= a(q5-1)/q-1 =242

    S10-S5= a(q10-1)/q-1 - a(q5-1)/q-1 = 58806

    Tip: I think dividing the equation on each others would be easier to solve
    Sounds like a good idea; a lot of things cancel.

    The left sides of both equations have the common factor \frac{a(q^5-1)}{q-1}. Divide the right-hand sides by this factor and the division you suggested will cancel them.

    Hint: q^{10}-1 = (q^5-1) (q^5 + 1)
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