Question

100 POINTS! PLEASE HELP WITH MATH

Answer 1

Multiply the numerator and denominator by the conjugate of 2i to make the denominator a real number:

-5 + 1 / 2i

= -5 + i /2i x i/i

= -5i + i^2 / 2 x i^2

Rewrite i^2 as -1:

-5i + -1 / 2 x -1

Simplify:

= -1 - 5i / -2

Split the fraction into two separate ones:

1/2 + 5i/2

Answer 2

Explanation:

mutiply (-5+i) and 2i with 2i

2i × 2i = 4i^2 ➡-4

2i × (-5+i) = -10i + 2i^2 ➡-10i -2

then do the division

(-10i -2)/-4 = (5i + 1)/2