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enyata [817]
2 years ago
15

Q3.

Mathematics
1 answer:
mixas84 [53]2 years ago
6 0

Answer:

  x = 6

Step-by-step explanation:

The ratio of consecutive terms is the same, so we have ...

  x/3 = (x +6)/x

  x^2 = 3(x +6) . . . . . . multiply by 3x

  x^2 -3x -18 = 0 . . . . subtract 3(x+6), simplify

  (x -6)(x +3) = 0 . . . . factor

  x = 6 . . . . . . . . . the only possible positive value

___

<em>Additional comment</em>

The zero product rule tells you that a product will be zero if and only if a factor is zero. That is, the solutions to this equation are values of x that make the factors zero: x = 6, x = -3.

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