Question

Solution of the equation x^2 + x + 1 = 0 is _________
(1 Point)

a)(-1 ±i√2)/3

b)(-1 ±i√3)/2

c)(-2 ±i√2)/2

d)(-1 ±i√5)/3

Answer 1

Step-by-step explanation:

See below

x

=

1.62

or

x

=

−

0.62

Explanation:

The quadratic formula is

−

b

±

√

b

2

−

4

a

c

2

a

this is used for formulas

a

x

2

+

b

x

+

c

=

0

in your problem,

x

2

−

x

−

1

=

0

a=1, b=-1, c=-1#

substitute into quadratic

−

(

−

1

)

±

√

(

−

1

)

2

−

4

(

1

)

(

−

1

)

2

⋅

1

this equals

1

±

√

1

+

4

2

1

+

√

5

2

or

1

−

√

5

2

x

=

1.62

or

x

=

−

0.62