158k views
5 votes
Find the real solutions of the equation. (2x-6)^2 + 4(2x -6) +3 = 0

User Oxigen
by
6.6k points

1 Answer

4 votes

Answer:

(

2

x

6

)

2

+

4

(

2

x

6

)

+

3

=

0

Simplify the left side.

Tap for more steps...

(

2

x

6

)

2

+

8

x

21

=

0

Use the quadratic formula to find the solutions.

b

±

b

2

4

(

a

c

)

2

a

Substitute the values

a

=

4

,

b

=

16

, and

c

=

15

into the quadratic formula and solve for

x

.

16

±

(

16

)

2

4

(

4

15

)

2

4

Simplify.

Tap for more steps...

x

=

4

±

1

2

The final answer is the combination of both solutions.

x

=

5

2

,

3

2

Explanation:

User Bwest
by
7.5k points