Answer:
Therefore
Step-by-step explanation:
Complex Number :
A complex number is a number that can be expressed in the form
where a and b are real numbers, and
' i ' is called an imaginary number.
The value of i is given as
Squaring both the side we get
Therefore on substituting we get
For i^110
Similarly for i^92
Similarly for i^245
Similarly for i^347
Therefore
Answer: x = ¹/₂ ± √⁸¹
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2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
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2
There are no directions to what we have to solve
Its already in simplest form but you can convert it to a mixed fraction and get:
1 5/8
Answer:$29.64
Step-by-step explanation:
$22.80 + 30%= $29.64
