Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:
So, the equation is simplified to
Let's combine the fractions on the right side:
Then
reduces to
Multiply both sides by -1/(17 + 11i) :
Finally, simplify the right side:
So, the solution to the equation is
the set is a {1/3, 2/3, 1, 4/3, ...} infinite set and {1/3, 2/3, 1, 4/3, ...} all numbers are subsets of the real numbers.
In mathematics, a real number is a continuous quantity value that can represent a distance along a line. The adjective real number in this context was introduced by Rene Descartes in the 17th century. Rene Descartes distinguished between real and imaginary roots of polynomials.
Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as √3 and π(22/7) are all real numbers.
Learn more about real numbers here
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Let Length of each Plan A workout be 
and Length of each Plan B workout be $b$
on Wednesday,
$5a+3b=7$
$2a+12b=19$
multiply equation one by $4$ and subtract equation two from it
to get,
$18a=9$ or $a=\frac12$
substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$
Answer:
k=2
Step-by-step explanation:
7[k+8]=70
First distribute the 7 into the k+8
7k+56=70
Then subtract the 56 on both sides since we want to isolate the variable
7k=14
Lastly divide each side by 7 to get the variable by itself and its value
k=2
We can check this by plugging 2 into the equation. We substitute for 2 in place of k.
7[2+8]=70
First do inside the brackets
7[10]=70
Next multiply
70=70
The equation is true so we know for sure that 2=k
