Question

factorise a²x²-11a²x+30a²-a-1=0​

Answer 1

Answer:

Solution :

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Given :

a²b²x² + b²x - a²x - 1 = 0

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To Find :

The value of x,.

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The given equation can be written as follows,.

⇒ a²b²x² + b²x - a²x - 1 = 0

⇒ a²b²x² + (b² - a²)x - 1 = 0

⇒ a²x(b²x - 1) + 1(b²x - 1) = 0

⇒ (a²x + 1)(b²x - 1) = 0

For this equation to be 0,.

Either a²x + 1 = 0 (or) b²x - 1 = 0

So, a²x = -1 (or) b²x = 1

Hence, x = \frac{-1}{a^2}x=

a

2

−1

(or) x = \frac{1}{b^2}x=

b

2

1

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Hope it Helps !!

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