Find the roots of 6x² - √2x - 2 = 0 by the factorisation of the corresponding quadratic polynomial

Solution:

Given, the equation is 6x² - √2x - 2 = 0

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

On factoring,

6x² - 3√2x + 2√2x - 2 = 0

3x(2x - √2) + √2(2x - √2) = 0

(3x + √2)(2x - √2) = 0

Now, 3x + √2 = 0

3x = -√2

x = -√2/3

Also, 2x - √2 = 0

2x = √2

x = √2/2

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

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

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

---

NCERT Exemplar Class 10 Maths Exercise 4.3 Solved Problem 2

Find the roots of 6x² - √2x - 2 = 0 by the factorisation of the corresponding quadratic polynomial

Summary:

The roots of 6x² - √2x - 2 = 0 by the factorisation of the corresponding quadratic polynomial are -√2/3 and √2/2

---

☛ Related Questions:

• 2x² - 3x - 5 = 0, find the roots of the quadratic equations by using the quadratic formula
• 5x² + 13x + 8 = 0, find the roots of the quadratic equations by using the quadratic formula
• -3x² + 5x + 12 = 0, find the roots of the quadratic equations by using the quadratic formula