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The numbers 3, x, and x + 6 form are in G.P. Find x

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प्रश्न

The numbers 3, x, and x + 6 form are in G.P. Find x

योग
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उत्तर

The numbers 3, x, and x + 6 are in G.P.

∴ `"x"/3 = ("x" + 6)/"x"`

∴ x2 = 3x + 18

∴ x2 – 3x – 18 = 0

∴ (x – 6)(x + 3) = 0

∴ x – 6 = 0 or x + 3 = 0

∴ x = 6 or x = – 3

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

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 2 Sequences and Series
Exercise 2.1 | Q 13. (i) | पृष्ठ २८

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