Question

find roots the of following quadratic equations by completing square method :- (a.) 5x - 62-2=0 ​

Answer 1

Answer:

Given quadratic equation is 5x

2

−6x−2=0.

→x

2

−

5

6

x−

5

2

=0 (Divide on both sides by 5)

→x

2

−2(

5

3

)x+

25

9

=

25

9

+

5

2

(add (

5

3

)

2

=

25

9

on both sides)

→(x−

5

3

)

2

=

25

19

→x−

5

3

=±

25

19

(take square root on both sides)

Thus, we have x=

5

3

±

5

19

=

5

3±

19

.

Hence, the solution set is {

5

3+

19

,

5

3−

19

}.