Find the roots of the quadratic equation 2x² - √5x - 2 = 0 using the quadratic formula

Solution:

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

We have to determine the roots of the quadratic equation.

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = 2, b = -√5 and c = -2

b² - 4ac = (-√5)² - 4(2)(-2)

= 5 + 16

= 21

So, x = [-(-√5) ± √21]/ 2(2)

= (√5 ± √21)/4

Therefore, the roots are (√5 + √21)/4 and (√5 - √21)/4.

✦ Try This: Find the roots of the quadratic equation x² + 5x - 2 = 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 Solved Problem 1

Find the roots of the quadratic equation 2x² - √5x - 2 = 0 using the quadratic formula

Summary:

The roots of the quadratic equation 2x² - √5x - 2 = 0 using the quadratic formula are (√5 + √21)/4 and (√5 - √21)/4.

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