(1/2)x² - √11x + 1 = 0, find the roots of the quadratic equations by using the quadratic formula

Solution:

Given, the quadratic equation is (1/2)x² - √11x + 1 = 0

We have to find the roots of the equation.

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = 1/2, b = -√11 and c = 1

b² - 4ac = (-√11)² - 4(1/2)(1)

= 11 - 2

= 9

x = [√11 ± √9]/ 1

x = [√11 ± 3]/1

Now, x = √11-3

x = √11+3

Therefore, the roots of the equation are √11+3 and √11-3

✦ Try This: Find the roots of the quadratic equation 7x² - 5x - 12 = 0 using the quadratic formula

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

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NCERT Exemplar Class 10 Maths Exercise 4.3 Problem 1 (vii)

(1/2)x² - √11x + 1 = 0, find the roots of the quadratic equations by using the quadratic formula

Summary:

The roots of the quadratic equation (1/2)x² - √11x + 1 = 0 by using the quadratic formula are √11+3 and √11-3

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