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Find the nature of the roots of the following quadratic equations. If the real roots exist, find them 2x2 – 3x + 5 = 0 - Mathematics

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Find the nature of the roots of the following quadratic equation. If the real roots exist, find them

2x2 - 3x + 5 = 0

Determine the nature of the roots of the following quadratic equation:

2x2 - 3x + 5 = 0

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Solution

Consider the equation

x2 - 3x + 5 = 0

Comparing it with ax2 + bx + c = 0, we get

a = 2, b = -3 and c = 5

Discriminant = b2 - 4ac

= ( - 3)2 - 4 (2) (5) = 9 - 40

= - 31

As b2 - 4ac < 0,

Therefore, no real root is possible for the given equation.

Concept: Nature of Roots
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APPEARS IN

NCERT Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.4 | Q 1.1 | Page 91
RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.6 | Q 1.1 | Page 41
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