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pav-90 [236]
3 years ago
8

Answer the equation according to the directions

Mathematics
1 answer:
Alchen [17]3 years ago
5 0
Answer: 2x^9 Hope this helps!
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Step-by-step explanation:

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When a number x is multiplied by 9, the result is 63. What is the value of x?
ioda
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2 years ago
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Find the multiplicative inverse of 3 − 2i. Verify that your solution is corect by confirming that the product of
leonid [27]

Answer:

\frac{3}{13} + \frac{2i}{13}

Step-by-step explanation:

The multiplicative inverse of a complex number y  is the complex number z such that (y)(z) = 1

So for this problem we need to find a number z such that

(3 - 2i) ( z ) = 1

If we take z = \frac{1}{3-2i}

We have that

(3- 2i)\frac{1}{3-2i} = 1 would be the multiplicative inverse of 3 - 2i

But remember that 2i = √-2 so we can rationalize the denominator of this complex number

\frac{1}{3-2i } (\frac{3+2i}{3+2i } )=\frac{3+2i}{9-(4i^{2} )} =\frac{3+2i}{9-4(-1)} =\frac{3+2i}{13}

Thus, the multiplicative inverse would be \frac{3}{13} + \frac{2i}{13}

The problem asks us to verify this by multiplying both numbers to see that the answer is 1:

Let's multiplicate this number by 3 - 2i to confirm:

(3-2i)(\frac{3+2i}{13}) = \frac{9-4i^{2} }{13}  =\frac{9-4(-1)}{13}= \frac{9+4}{13} = \frac{13}{13}= 1

Thus, the number we found is indeed the multiplicative inverse of  3 - 2i

4 0
3 years ago
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