Express (2i - 5) / (i + 1) in its simplest form in terms of i.

Multiply the numerator and denominator by the conjugate of i + 1 to get a difference of squares in the denominator:

(2i - 5) / (i + 1) × (-i + 1) / (-i + 1)

((2i - 5) (-i + 1)) / (-i ² - i + i + 1²)

((2i - 5) (-i + 1)) / (-(-1) + 1)

((2i - 5) (-i + 1)) / 2

Expand the numerator:

(2i - 5) (-i + 1) = -2i ² + 5i + 2i - 5 = -3 + 7i

Then we end up with

(2i - 5) / (i + 1) = (-3 + 7i )/2

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!