1.

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

Answer»

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

}.


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