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

2x^{2} - 3x + 5 = 0

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

2*x*^{2} - 3*x* + 5 = 0

Advertisement Remove all ads

#### Solution

Consider the equation

x^{2} - 3x + 5 = 0

Comparing it with ax^{2} + 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

Is there an error in this question or solution?

#### APPEARS IN

Advertisement Remove all ads