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Maths-

General

Easy

Question

i² + (-i)²
In the complex number system, what is the value of the given expression? (Note: i = $square root of negative 1 end root$ )

-2
0
2
2i

The correct answer is: -2

Given,
$straight i squared space plus space left parenthesis negative straight i right parenthesis squared space equals space minus 1 space plus space straight i to the power of 2 space end exponent open square brackets text as end text straight i squared space equals space minus 1 close square brackets straight i squared space plus space left parenthesis negative straight i right parenthesis squared space equals space minus 1 space minus 1 space equals space minus 2 times open square brackets as space i squared space equals space minus 1 close square brackets therefore straight i squared space plus space left parenthesis negative straight i right parenthesis squared space equals space minus 2$

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