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Discuss the nature of the roots of the following quadratic equations : -2x2 + x + 1 = 0 - Mathematics

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Question

Discuss the nature of the roots of the following quadratic equations : -2x2 + x + 1 = 0

Sum

Solution

-2x2 + x + 1 = 0
Here a = -2, b = 1, c = 1
∴ D = b2 -  4ac
= (1)2 - 4 x (-2) x 1
= 1 + 8
= 9
∵ 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 2.5
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