Question

write the statements in the form of equation .if 8 is taken away from the number a, the result is -4​

Answer 1

Step-by-step explanation:

ANSWER

Since z

1

and z

2

are the roots of 3z

2

+3z+b=0, hence

z

1

+z

2

=−1 and z

1

z

2

=

3

b

.

Now

z

1

,z

2

and the origin forms an equilateral triangle.

Hence

z

1

2

+z

2

2

+z

3

2

=z

1

z

2

+z

2

z

3

+z

3

z

1

Since z

3

=0

Hence

z

1

2

+z

2

2

=z

1

z

2

(z

1

+z

2

)

2

−2z

1

z

2

=z

1

z

2

(z

1

+z

2

)

2

=3z

1

z

2

1=3(

3

b

)

b=1