5x² + 13x + 8 = 0, find the roots of the quadratic equations by using the quadratic formula

Solution:

Given, the quadratic equation is 5x² + 13x + 8 = 0

We have to find the roots of the equation.

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = 5, b = 13 and c = 8

b² - 4ac = (13)² - 4(5)(8)

= 169 - 160

= 9

x = [-13 ± √9]/2 (5)

x = [-13 ± 3]/10

Now, x = (-13+3)/10 = -10/10 = -1

x = (-13-3)/10 = -16/10 = -8/5

Therefore, the roots of the equation are -8/5 and -1

✦ Try This: Find the roots of the quadratic equation -9x² + 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 (ii)

5x² + 13x + 8 = 0, find the roots of the quadratic equations by using the quadratic formula

Summary:

The roots of the quadratic equation 5x² + 13x + 8 = 0 by using the quadratic formula are -1 and -8/5

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