Question

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

Answer 1

Answer:

The answers are

x

=

−

2

and

x

=

−

4

.

Step-by-step 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