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Solve: x4 – 10x2 + 9 = 0

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Question

Solve:

x4 – 10x2 + 9 = 0

Sum
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Solution

x4 – 10x2 + 9 = 0

`=>` x4 – 9x2 – x2 + 9 = 0

`=>` x2(x2 – 9) – 1(x2 – 9) = 0

`=>` (x2 – 9)(x2 – 1) = 0

If x2 – 9 = 0 or x2 – 1 = 0

`=>` x2 = 9 or x2 = 1

`=>` x = ±3 or x = ±1

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Chapter 5: Quadratic Equations - Exercise 5 (E) [Page 65]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (E) | Q 3. | Page 65
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