Question

The quadratic function f(x) = x^2 + 8x + 17 is equal to zero when x - a + bi

Answer 1

Answer:

x

2

−

8

x

−

17

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

1

,

b

=

−

8

, and

c

=

−

17

into the quadratic formula and solve for

x

.

8

±

√

(

−

8

)

2

−

4

⋅

(

1

⋅

−

17

)

2

⋅

1

Simplify.

Tap for more steps...

x

=

4

±

√

33

The result can be shown in multiple forms.

Exact Form:

x

=

4

±

√

33

Decimal Form:

x

=

9.74456264

…

,

−

1.74456264

…

Step-by-step explanation: