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

Solution:

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

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

On factoring,

3√2x² - 5x - √2 = 0

3√2x² - 6x + x - √2 = 0

3√2x(x - √2) + 1(x - √2) = 0

(3√2x + 1)(x - √2) = 0

Now, 3√2x + 1 = 0

3√2x = -1

x = -1/3√2

Also, x - √2 = 0

x = √2

Therefore, the roots of the equation are √2 and -1/3√2.

✦ Try This: Determine the roots of the equation x² + 2x + 8 = 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 (iii)

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

Summary:

The roots of the quadratic equation 3√2x² - 5x - √2 = 0 by the factorisation method are √2 and -1/3√2

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