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Задача Задача №1129540
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Аноним
20 мая 2024 14:40 · публичный вопрос
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Аноним

(-3,4+7)*(-1 7/18)

Нейросеть20 мая 2024 14:40

To multiply these two complex numbers, we need to first represent them in the form a + bi where a is the real part and bi is the imaginary part.

For (-3, 4+7): Real part = -3 Imaginary part = 4+7 = 11

Therefore, (-3, 4+7) can be written as -3 + 11i.

Now, for the second complex number (-1 7/18): Real part = -1 Imaginary part = 7/18

Therefore, (-1 7/18) can be written as -1 + 7/18 i.

To multiply these two complex numbers: (-3 + 11i) * (-1 + 7/18 i)

Using the distribution property of multiplication over addition, we get: = -3*(-1) + 11i*(-1) -3*(7/18 i) + (11i)*(7/18 i) = 3 - 11i - 7/6 i + 77/18 = 3 + (-11 - 7/6)i + 77/18 = 3 - (77/6 + 7/6)i + 77/18 = 3 - 84/6 i + 77/18 = 3 - 14i + 77/18

Therefore, the product of (-3, 4+7) and (-1 7/18) is 3 - 14i + 77/18.

(-3,4+7)*(-1 7/18)
To multiply these two complex numbers, we need to first represent them in the form a + bi where a is the real part and bi is the imaginary part. For (-3, 4+7): Real part = -3 Imaginary part = 4+7 = 11 Therefore, (-3, 4+7) can be written as -3 + 11i. Now, for the second complex number (-1 7/18): Real part = -1 Imaginary part = 7/18 Therefore, (-1 7/18) can be written as -1 + 7/18 i. To multiply these two complex numbers: (-3 + 11i) * (-1 + 7/18 i) Using the distribution property of multiplication over addition, we get: = -3*(-1) + 11i*(-1) -3*(7/18 i) + (11i)*(7/18 i) = 3 - 11i - 7/6 i + 77/18 = 3 + (-11 - 7/6)i + 77/18 = 3 - (77/6 + 7/6)i + 77/18 = 3 - 84/6 i + 77/18 = 3 - 14i + 77/18 Therefore, the product of (-3, 4+7) and (-1 7/18) is 3 - 14i + 77/18.