x² - 3√5x + 10 = 0, find the roots of the quadratic equations by using the quadratic formula

Solution:

Given, the quadratic equation is x² - 3√5x + 10 = 0

We have to find the roots of the equation.

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = 1, b = -3√5 and c = 10

b² - 4ac = (-3√5)² - 4(1)(10)

= 45 - 40

= 5

x = [3√5 ± √5]/2

Now, x = (3√5+√5)/2 = 4√5/2 = 2√5

x = (3√5-√5)/2 = 2√5/2 = √5

Therefore, the roots of the equation are √5 and 2√5

✦ Try This: Find the roots of the quadratic equation 2x² + 5x + 8 = 0 using the quadratic formula

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

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

Summary:

The roots of the quadratic equation x² - 3√5x + 10 = 0 using the quadratic formula are √5 and 2√5

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