Question

If y= x+3/6-x, what is the value of y when x =7i?

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Given :  y = $\frac{x+3}{6-x}$

If x = 7i

y = $\frac{7i+3}{6-7i}$

By simplifying denominator of the given rational expression,

y = $\frac{7i+3}{6-7i}\times \frac{6+7i}{6+7i}$

y = $\frac{(7i+3)(6+7i)}{6^2-(7i)^2}$

y = $\frac{7i(6+7i)+3(6+7i)}{36-49i^2}$

y = $\frac{42i+49i^2+18+21i}{36+49}$ [Since, i² = (-1)]

y = $\frac{63i-49+18}{85}$

y = $\frac{63i-31}{85}$

y = $-\frac{31}{85}+\frac{63}{85}i$

Therefore, Option (2) is the correct option.