2x² + 5/3x - 2 = 0, find the roots of the quadratic equation by the factorisation method

Solution:

Given, the quadratic equation is 2x² + 5/3x - 2 = 0.

We have to find the roots of the equation by factorisation method.

The equation can be written as

3(2)x² + 5x - 2(3) = 0

6x² + 5x - 6 = 0

On factoring,

6x² - 4x + 9x- 6 = 0

2x(3x - 2) + 3(3x - 2) = 0

(2x + 3)(3x -2) = 0

Now, 2x + 3 = 0

2x = -3

x = -3/2

Also, 3x - 2 = 0

3x = 2

x = 2/3

Therefore, the roots of the equation are 2/3 and -3/2

✦ Try This: Determine the roots of the equation x² - x - 2 = 0 by factorisation method

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 4

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NCERT Exemplar Class 10 Maths Exercise 4.3 Problem 2 (i)

2x² + 5/3x - 2 = 0, find the roots of the quadratic equation by the factorisation method

Summary:

The roots of the quadratic equation 2x² + 5/3x - 2 = 0 by the factorisation method are 2/3 and -3/2

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