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Solve the following equation by factorisation method: 16/x^2 - 6/x - 1 = 0, x\cancel=0 - Mathematics

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प्रश्न

Solve the following equation by factorisation method:

`16/x^2 - 6/x - 1 = 0, x\cancel=0`

योग
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उत्तर

Given:

`16/x^2 - 6/x - 1 = 0, x\cancel=0`

Multiply the whole equation by x2 (since x ≠ 0):

16 − 6x − x2 = 0

x2 + 6x − 16 = 0

product = −16

sum = 6

These numbers are 8 and −2.

(x + 8) (x − 2) = 0

x + 8 = 0

⇒ x = −8

x − 2 = 0

⇒ x = 2

x = −8 or x = 2​

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अध्याय 5: Quadratic equations - Exercise 5B [पृष्ठ ६५]

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नूतन Mathematics [English] Class 10 ICSE
अध्याय 5 Quadratic equations
Exercise 5B | Q 15. | पृष्ठ ६५
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