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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 - CBSE Class 10 - Mathematics

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Questions

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 to Current)
Chapter 4: Quadratic Equations
Ex.4.40 | Q: 1.1 | Page no. 91
 NCERT Solution for Mathematics Textbook for Class 10 (2018 to Current)
Chapter 4: Quadratic Equations
Ex.4.40 | Q: 1.1 | Page no. 91
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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