Question

Solve the quadratic equations by completing the square 1. 3x² + 8x +2=0

Answer 1

Answer:

Step-by-step explanation:

3

x

2

−

8

x

+

2

=

0

is of the form  

a

x

2

+

b

x

+

c

=

0

, with  

a

=

3

,  

b

=

−

8

and  

c

=

2

This has roots given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

8

±

√

(

−

8

)

2

−

(

4

⋅

3

⋅

2

)

2

⋅

3

=

8

±

√

64

−

24

6

=

8

±

√

40

6

=

8

±

√

2

2

⋅

10

6

=

8

±

2

√

10

6

=

4

±

√

10

3