GuSa11291 GuSa11291

06-04-2016
Mathematics

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If f(x) = x^3 – 2x^2, which expression is equivalent to f(i)?

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Leooooo Leooooo

06-04-2016

i=√-1 and all the steps are there

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olemakpadu olemakpadu

06-04-2016

f(x) = x³ - 2x².

f(i) = i³ - 2i².

i = √-1.

i³ = (√-1)³ = √-1 * √-1 *√-1 = -1*√-1 = -√-1 = -i

i² = (√-1)² = √-1 * √-1 = -1

f(i) = i³ - 2i² = -i - 2(-1) = -i + 2

f(i) = 2 - i

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