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Discuss the nature of the roots of the following quadratic equations : x2 – 4x – 1 = 0 - Mathematics

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Question

Discuss the nature of the roots of the following quadratic equations : x2 – 4x – 1 = 0

Sum

Solution

x2 – 4x – 1 = 0
Here a = 1, b = -4, c = -1
∴ D = b2 - 4ac
= (-4)2 - 4 x 1 x (-1)
= 16 + 4
= 20
∵ D > 0
Roots are real and distinct.

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Chapter 5: Quadratic Equations in One Variable - Exercise 5.4

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ML Aggarwal Understanding ICSE Mathematics [English] Class 10
Chapter 5 Quadratic Equations in One Variable
Exercise 5.4 | Q 2.1
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