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Solve the Following Quadratic Equations by Factorization: A(X2 + 1) - X(A2 + 1) = 0 - Mathematics

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Question

Solve the following quadratic equations by factorization:

a(x2 + 1) - x(a2 + 1) = 0

Solution

We have been given

a(x2 + 1) - x(a2 + 1) = 0

ax2 - (a2 + 1)x + a = 0

ax2 - a2x - x + a = 0

ax(x - a) - 1(x - a) = 0

(ax - 1)(x - a) = 0

Therefore,

ax - 1 = 0

ax = 1

x = 1/a

or,

x - a = 0

x = a

Hence, x = 1/a or x = a

  Is there an error in this question or solution?
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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 52 | Page no. 21
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 52 | Page no. 21
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Solve the Following Quadratic Equations by Factorization: A(X2 + 1) - X(A2 + 1) = 0 Concept: Solutions of Quadratic Equations by Factorization.
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