Question

simplify -50+20-30+70
$- - = + || + + = + || - + = - || + - = - \: \: \: \: \: simplify the following$
​

Answer 1

Answer:

-50-30+20+70

-80+90

+10

Answer 2

Answer:

Correct option is

C

17

z+∣z∣=2+8i⟶(1)

let z=x+iy⟶(2)

then, ∣z∣=

x

2

+y

2

⟶(3)

∴ Substituting (2) & (3) in (1) we get

x+iy+

x

2

+y

2

=2+8i

⇒x+

x

2

+y

2

+iy=2+8i

Comparing LHS & RHS we get

y=8⟶(4) and x+

x

2

+y

2

=2⟶(5)

Substituting the value of y in the equation (5)

We get

x+

x

2

+64

=2

x

2

+64

=2−x

Squaring both sides,

x

2

+64=4+x

2

−4x

⇒4x=−60

⇒x=−15

∴ z=−15+8i

∣z∣=

225+164

=

289

=17 units.

Was this answer helpful?