anonymous
  • anonymous
Given that x, 4, x+6 are consecutive terms of a geometric series, find: (a) the possible values of x So I got x=2 but part from trying every number to see I don't know of a method to find the possible values. I don't know how many values they want so if there is a method that shows all the possible values that would be better.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
Geometric series so common ratio = second term / first = third / second so 4 / x = (x + 6) / 4 solve for x
welshfella
  • welshfella
that rearranges to the quadrataic equation x^2 + 6x - 16 = 0
welshfella
  • welshfella
can you solve that?

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welshfella
  • welshfella
x = 2 is one of the possible values
welshfella
  • welshfella
you need to factor x^2 + 6x - 16 you want 2 numbers whose product is -16 and whose sum = + 6
welshfella
  • welshfella
have you learned how to solve these type of equations?
anonymous
  • anonymous
Yes I have done quadratics before. I will try that now quickly
anonymous
  • anonymous
I got the right thing! Thank you very much!
welshfella
  • welshfella
yw

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