Question

15. The general form of the quadratic equation 1/(x+5) = 1/x2 is O x2 + X2 + X+ 5=0 O -X – X2-5 = 0 O x2 -x-5=0 O x2 -x+5=0​

Answer 1

Step-by-step explanation:

The answer is

−

1

±

i

√

19

2

.

Explanation:

The quadratic formula is

x

=

−

b

±

√

b

2

−

4

a

c

2

a

for the equation

a

x

2

+

b

x

+

c

.

In this case,

a

=

1

,

b

=

1

, and

c

=

5

.

You can therefore substitute in those values to get:

−

1

±

√

1

2

−

4

(

1

)

(

5

)

2

(

1

)

.

Simplify to get

−

1

±

√

−

19

2

.

Because

√

−

19

is not a real number, we have to stick to imaginary solutions. (If this problem asks for real number solutions, there are none.)

The imaginary number

i

equals

√

−

1

, therefore we can substitute it in:

−

1

±

√

−

1

⋅

19

2

→

−

1

±

√

−

1

⋅

√

19

2

→

−

1

±

i

√

19

2

, the final answer.

Hope this helps!