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Find the discriminant of the following equations and hence find the nature of roots: 3x2 – 5x – 2 = 0 - Mathematics

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Question

Find the discriminant of the following equations and hence find the nature of roots: 3x2 – 5x – 2 = 0

Sum

Solution

3x2 – 5x – 2 = 0
Here a = 3, b = -5, c = -2
∴ D = b2 - 4ac
= (-5)2 - 4 x 3 x (-2)
= 25 + 24
= 49
∴ Discriminant = 49
∴ 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 1.1
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