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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 9y2-62y+2 = 0 - Mathematics

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Question

Determine the nature of the roots for the following quadratic equation

`9y^2 - 6sqrt(2)y + 2` = 0

Sum

Solution

Here a = 9, b = `-6sqrt(2)`, c = 2

∆ = b2 – 4ac

= `(-6 sqrt(2))^2 - 4(9) (2)`

= 72 – 72
= 0
So the equation will have real and equal 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. (iv) | Page 119

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