If x,y are real and (−2−3i)3=27x+iy then value of y−x is equal to (A) 91 (B) −91 (C) 85 (D) −85

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If {x},{y} are real and {(-{2}-{{i}}{{3}})}^{{3}}={{{x}+{i}{y}

Question

If $x, y$ are real and $(- 2 - \frac{i}{3})^{3} = \frac{x + i y}{27}$ then value of $y - x$ is equal to (A) $91$ (B) $- 91$ (C) $85$ (D) $- 85$

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Sophia Discussed

x, y

are real and

(- 2 - \frac{i}{3})^{3} = \frac{x + i y}{27}

then value of

y - x

is equal to (A)

91

(B)

- 91

(C)

85

(D)

- 85

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Question Text	If $x, y$ are real and $(- 2 - \frac{i}{3})^{3} = \frac{x + i y}{27}$ then value of $y - x$ is equal to (A) $91$ (B) $- 91$ (C) $85$ (D) $- 85$
Answer Type	Video solution: 1
Upvotes	150