2x² - 3x - 5 = 0, find the roots of the quadratic equations by using the quadratic formula

Solution:

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

We have to find the roots of the equation.

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = 2, b = -3 and c = -5

b² - 4ac = (-3)² - 4(2)(-5)

= 9 + 40

= 49

x = [- (-3) ± √49]/2(2)

x = [3 ± 7]/4

Now, x = (3+7)/4 = 10/4 = 5/2

x = (3-7)/4 = -4/4 = -1

Therefore, the roots of the equation are 5/2 and -1.

✦ Try This: Find the roots of the quadratic equation 4x² + 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 Problem 1 (i)

2x² - 3x - 5 = 0, find the roots of the quadratic equations by using the quadratic formula

Summary:

The roots of the quadratic equation 2x² - 3x - 5 = 0 by using the quadratic formula are 5/2 and -1

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