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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

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.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.4 | Q: 1.1 | Page no. 91
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.6 | Q: 1.1 | Page no. 41
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.6 | Q: 1.1 | Page no. 41
Solution Find the nature of the roots of the following quadratic equations. If the real roots exist, find them 2x2 – 3x + 5 = 0 Concept: Nature of Roots.
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