Question

Find the roots of the quadratic equation v3x2 - 2x - 13 = 0​

Answer 1

Answer:

2 + 2√10 2 - 2√10

_______ , ______

3 3

Step-by-step explanation:

3x² - 2x - 13 = 0

Here,

a = 3

b = - 2

c = - 13

D = b² - 4ac

= ( - 2 )² - 4 ( 3 ) ( - 13 )

= 4 - ( - 156 )

= 4 + 156

D = 160

x = - b ± √D

_______

2a

= - ( - 2 ) ± √160

___________

2 ( 3 )

= 4 ± 4√10

_______

6

= 4 + 4√10 4 - 4√10

_______ , _______

6 6

= 2 ( 2 + 2√10 ) 2 ( 2 - 2√10 )

__________ , __________

6 6

x = 2 + 2√10 2 - 2√10

_______ , ______

3 3

Therefore,

the roots of the quadratic equation v3x2 - 2x - 13 are

2 + 2√10 2 - 2√10

_______ , ______

3 3