n the problem 5 divided by one-half, Joanne and Oliver are finding how many halves are in 5. What picture could you draw to repr
2 answers:
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Answer:
2
Step-by-step explanation:
<u>ANSWER:</u>
Square root of 5 + 12i is 3+2i or -3 – 2i and square root of 5 – 12i is 3 – 2i or -3 + 2i.
<u>SOLUTION: </u>
Given, we have to find square roots of 5 + 12i and 5 – 12i
<u><em>a) 5 + 12i</em></u>
Now, square root of 5 + 12i
Suppose that a + bi is a square root of 5 + 12i.
Equate real and imaginary parts:
Since a must be real, a = 3 or -3.
This gives b = 2 or -2, respectively.
Thus, we have two square roots: 3+2i or -3-2i.
<u><em>b) 5 - 12i</em></u>
Now, square root of 5 - 12i
Suppose that a - bi is a square root of 5 - 12i.
Equate real and imaginary parts:
This gives b = 2 or -2, respectively.
Thus, we have two square roots: 3 - 2i or -3 + 2i.
Hence, square root of 5 + 12i is 3+2i or -3 – 2i and square root of 5 – 12i is 3 – 2i or -3 + 2i.