# Determine the Nature of the Roots of the Following Quadratic Equation: 3/5x^2-2/3x+1=0 - Mathematics

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

3/5x^2-2/3x+1=0

#### Solution

The given quadric equation is 3/5x^2-2/3x+1=0

⇒ 9x2 - 10x + 15 = 0

Here, a = 9, b = -10 and c = 15

As we know that D = b2 - 4ac

Putting the value of a = 9, b = -10 and c = 15

D = (-10)2 - 4(9)(15)

= 100 - 540

= -440

Since, D < 0

Therefore, root of the given equation are not real.

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.6 | Q 1.3 | Page 41