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The numbers x − 6, 2x and x2 are in G.P. Find x - Mathematics and Statistics

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प्रश्न

The numbers x − 6, 2x and x2 are in G.P. Find x

योग
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उत्तर

The numbers x − 6, 2x and x2 are in G.P.

∴ `(2x)/(x - 6) = x^2/(2x)`

∴ 4x2 = x2(x – 6)

∴ 4 = x – 6   ...[∵ x2 ≠ 0]

∴ x = 10

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अध्याय 2: Sequences and Series - Exercise 2.1 [पृष्ठ २८]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 2 Sequences and Series
Exercise 2.1 | Q 15. (i) | पृष्ठ २८

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