What are the roots of the equation x^2-5x-2=0?

Problem:

The quadratic formula states:

For

a

x

2

+

b

x

+

c

=

0

, the values of

x

which are the solutions to the equation are given by:

x

=

-

b

±

√

b

2

-

(

4

a

c

)

2

⋅

a

Substituting:

1

for

a

-

5

for

b

-

2

for

c

gives:

x

=

-

(

-

5

)

±

√

(

-

5

)

2

-

(

4

⋅

1

⋅

-

2

)

2

⋅

1

x

=

5

±

√

25

-

(

-

8

)

2

x

=

5

±

√

25

+

8

2

x

=

5

±

√

33

2

Answer: it is not possible