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G(x)=x^2-6x+8 write in quadratic formula

User Melaka
by
8.3k points

1 Answer

6 votes

Answer:

The answers are

x

=

2

and

x

=

4

.

Explanation:

To start, the quadratic formula is

x

=

b

±

b

2

4

a

c

2

a

In this problem,

a

=

1

(as the

x

2

term has no coefficient),

b

=

6

, and

c

=

8

.

Plug those values into the quadratic equation to get:

x

=

6

±

6

2

4

(

1

)

(

8

)

2

(

1

)

Multiply

2

1

on the bottom of the fraction:

x

=

6

±

6

2

4

(

1

)

(

8

)

2

Square

6

and multiply

4

1

8

within the square root:

x

=

6

±

36

32

2

Subtract

36

32

inside the root:

x

=

6

±

4

2

Solve for

4

x

=

6

±

2

2

If the

±

is positive, you get

x

=

6

+

2

2

, which simplifies to

x

=

4

2

, or

2

If the

±

is negative, you get

x

=

6

2

2

, which simplifies to

x

=

8

2

, or

4

User Metanerd
by
8.0k points

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