2sqrt2(cos45 + i * sin45)
The conjugate is 7-5i
hex =7
It looks like one of the most notable contributions is he helped to popularize the graphical representation of complex numbers. (see link)
Basically it means change. It can meanchange a measurement from one set of units to another - for example convert the distance from miles to kilometres, orchange a number from one form of representation to another for example, convert a number from a fraction to scientific notation.
To convert the whole number 17 into an improper fraction, you can express it as ( \frac{17}{1} ). This maintains the value of 17 while presenting it as a fraction. Since you want to avoid creating a mixed number, this representation suffices.
To convert the decimal number 47.625 to 16-bit floating point representation (following the IEEE 754 standard), we first express it in binary. The integer part (47) is 101111, and the fractional part (.625) is .101. Combining these gives us 101111.101. This is normalized to 1.011111 × 2^5. The exponent (5) is stored with a bias of 15, resulting in an exponent of 20 (or 10100 in binary). The final 16-bit representation consists of 1 sign bit (0 for positive), 5 bits for the exponent (10100), and 10 bits for the mantissa (0111110000), yielding: 0 10100 0111110000.
To convert the number 110 into a decimal, you simply write it as 110.0. This indicates that there are no fractions or parts of a whole number present, making it a whole number in decimal form. In this case, the decimal representation is the same as the original number, 110.
If the discriminant - the part under the radical sign in the quadratic formula - is negative, then the result is complex, it is as simple as that. You can't convert a complex number to a real number. If a particular problem requires only real-number solutions, then - if the formula gives complex numbers - you can state that there is no solution.
Complex numbers whose polar representation is (r, theta) where 3*pi/2 < theta < 2*pi.
144
To convert 0.75 to a whole number, you can multiply it by 100 to get 75. However, if you are looking for a whole number representation in terms of rounding, 0.75 rounds up to 1. Thus, depending on the context, you can either express it as 75 or round it to 1.
A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. So the required decimal representation is 78, exactly as in the question.