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Solve: x4 – 2x2 – 3 = 0

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Question

Solve:

x4 – 2x2 – 3 = 0

Sum
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Solution

x4 – 2x2 – 3 = 0

`=>` x4 – 3x2 + x2 – 3 = 0

`=>` x2(x2 – 3) + 1(x2 – 3) = 0

`=>` (x2 – 3)(x2 + 1) = 0

If x2 – 3 = 0 or x2 + 1 = 0

`=>` x2 = 3 or x2 = –1  ...(Reject)

`=> x = +-sqrt3`

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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 2. | Page 65
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