Study these equations: f(x) = 2x – 4 g(x) = 3x + 1 What is h(x) = f(x)g(x)? h(x) = 6x2 – 10x – 4 h(x) = 6x2 – 12x – 4 h(x) = 6x2 + 2x – 4 h(x) = 6x2 + 14x + 4

How do you solve

5

x

2

−

2

x

+

4

=

0

by quadratic formula?

=>Explanation:

Solve by quadratic formula:

5

x

2

−

2

x

+

4

=

0

is a quadratic equation in standard form:

a

x

2

+

b

x

+

c

, where

a

=

5

,

b

=

−

2

, and

c

=

4

.

quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

Substitute the values for

a

,

b

,

and

c

into the formula.

x

=

−

(

−

2

)

±

√

(

−

2

)

2

−

4

⋅

5

⋅

4

2

⋅

5

Simplify.

x

=

2

±

√

4

−

80

10

x

=

2

±

√

−

76

10

Prime factorize the number of the square root.

x

=

2

±

i

√

2

×

2

×

19

10

Simplify.

x

=

2

±

2

i

√

19

10

Reduce.

x

=

1

±

i

√

19

5

Solutions for

x

.

x

=

1

+

i

√

19

5

,

x

=

1

−

i

√

19

5