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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Determine the nature of the roots for the following quadratic equation x2 – x – 1 = 0 - Mathematics

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Question

Determine the nature of the roots for the following quadratic equation

x2 – x – 1 = 0

Sum

Solution

Here a = 1, b = – 1, c = – 1

∆ = b2 – 4ac

= (– 1)2 – 4(1)(– 1)

= 1 + 4 = 5

∆ = 1 > 0

So the equation will have real and unequal roots.

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Quadratic Equations
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Chapter 3: Algebra - Exercise 3.13 [Page 119]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 3 Algebra
Exercise 3.13 | Q 1. (ii) | Page 119
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