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Solve the Following Quadratic Equations by Factorization: A2b2x2 + B2x - A2x - 1 = 0 - CBSE Class 10 - Mathematics

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Question

Solve the following quadratic equations by factorization:

a2b2x2 + b2x - a2x - 1 = 0

Solution

We have been given

a2b2x2 + b2x - a2x - 1 = 0

b2x(a2x + 1) - 1(a2x + 1) = 0

(b2x - 1)(a2x + 1) = 0

Therefore,

b2x - 1 = 0

b2x = 1

`x=1/b^2`

or,

a2x + 1 = 0

a2x = -1

`x=-1/a^2`

Hence, `x=1/b^2` or `x=-1/a^2`

  Is there an error in this question or solution?

APPEARS IN

Solution Solve the Following Quadratic Equations by Factorization: A2b2x2 + B2x - A2x - 1 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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