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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`

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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
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