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`A^2b^2x^2+B^2x-1=0` - Mathematics

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Question

`a^2b^2x^2+b^2x-1=0` 

Solution

`a^2b^2x^2+b^2x-a^2x-1=0` 

`⇒b^2x(a^2x+1)-1(a^2x+1)=0` 

`⇒(b^2x-1)(a^2x+1)=0` 

`⇒(b^2x-1)=0  or  (a^2x+1)=0` 

`⇒x=1/b^2 or  x=(-1)/a^2` 

Hence, `1/b^2` and `1/a^2` are the roots of the given equation.

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Chapter 10: Quadratic Equations - Exercises 1

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RS Aggarwal Mathematics [English] Class 10
Chapter 10 Quadratic Equations
Exercises 1 | Q 50
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