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Vanyuwa [196]
2 years ago
12

PLS HELP WILL MARK AS BRAINLIST

Mathematics
2 answers:
kykrilka [37]2 years ago
5 0

Answer:

Step-by-step explanation:

x = -6 ± 3√2

x = -6 + 3√2

x = -6 - 3√2

babunello [35]2 years ago
5 0

Step-by-step explanation:

\sf  x=-6  \:  \pm 3\sqrt{2}

\sf \: x=-6 \: +  3 \sqrt{2}

\sf \: x=-6 \: - 3 \sqrt{2}

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What does i^739 equal? explain how you found your answer.
Sophie [7]
<h3>Answer:   -i</h3>

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

  • i^0 = 1
  • i^1 = i
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  • i^3 = i*i^2 = i*(-1) = -i
  • i^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

-------------

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

<h3>-i is the final answer</h3>

--------------

Side notes:

  • if i^a = i^b, then a-b is a multiple of 4
  • Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
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