We know that
A difference of two perfect squares (A² - B²) <span>can be factored into </span><span> (A+B) • (A-B)
</span> then
x ^4-4--------> (x²-2)*(x²+2)
(x²-2)--------> (x-√2)*(x+√2)
x1=+√2
x2=-√2
the other term
(x²+2)=0-> x²=-2-------------- x=(+-)√-2
i <span> is called the </span><span>imaginary unit. </span><span>It satisfies </span><span> i</span>²<span> =-1
</span><span>Both </span><span> i </span><span> and </span><span> -i </span><span> are the square roots of </span><span> -1
</span><span>√<span> -2 </span></span> =√<span> -1• 2 </span><span> = </span>√ -1 •√<span> 2 </span> =i • <span> √<span> 2 </span></span>
The equation has no real solutions. It has 2 imaginary, or complex solutions.
x3= 0 + √2<span> <span>i
</span></span>x4= 0 - √2<span> i </span>
the answer is
the values of x are
x1=+√2
x2=-√2
x3= 0 + √2 i
x4= 0 - √2 i
Yes it is a solution because if you take the equation and plug the point in for the x and y :
4 (2) + 3 (3) < 20
8 + 9 < 20
17 < 20
which is true
10 (2) + (3) > 10
20 + 3> 10
23>10
which is also true
<h3>
Answer: $1067.45</h3>
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Work Shown:
L = 165000 = loan amount or amount financed
r = 0.06725 = annual interest rate in decimal form
i = r/12 = 0.06725/12 = 0.005604167
i = 0.005604167 = approximate monthly interest rate in decimal form
n = number of months = 30*12 = 360 months
P = unknown monthly payment
--------------
Apply the monthly payment formula
P = (L*i)/( 1-(1+i)^(-n) )
P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))
P = 1067.44636311118
P = 1067.45
Answer:
The number of pair of gym shoes does Mr. king has is 27 pairs .
Step-by-step explanation:
Given as :
Total number of pairs of shoes does king has = 36 pairs
The number of gym shoes = 
of the total pairs of shoes
Let The number of pair of gym shoes = n
<u>According to question</u>
The number of gym shoes = × the total pairs of shoes
Or, n = × 36
i.e n = 
Or, n = 3 × 9
∴ n = 27
So, The number of pair of gym shoes = n = 27 pairs
Hence, The number of pair of gym shoes does Mr. king has is 27 pairs . Answer
In the given question it is given that the length of the rectangle is 5.5 cm and the area of the rectangle is 220 cm^2.
Length of the rectangle = 5.5 cm
Area of the rectangle = 220 cm^2
Then we already know that
Area of a rectangle = Length * width
So Width of the rectangle = Area of the rectangle/ Length
= 220/5.5
= 2200/55
= 40
So the width of the rectangle is 40 cm.<span>Hope
that you have got the answer you were
looking for.
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