Given that x is an integer such that
mula1" title="\x\sqrt{x}-5x-9\sqrt{x}=35[" alt="\x\sqrt{x}-5x-9\sqrt{x}=35[" align="absmiddle" class="latex-formula">, find x.
2 answers:
I have done this several times and do not find that x is an integer. I get an imaginary number. Crazy as it seems, here's what I got all 3 times I did this:
. That is definitely NOT an integer!
There appears to be a mistake in the LaTeX, so that the equation is supposed to be
If we let z=√x, then this is
By Descartes' rule of signs, this will have one positive real root. The rational root theorem says it will be one of 1, 5, 7, or 35. It is actually z=7. The corresponding value of x is
x = z² = 7² = 49.
A graphing calculator finds the solution to the original equation easily. (I find it useful to put it in the form f(x)=0.)
x = 49
If we let z=√x, then this is
By Descartes' rule of signs, this will have one positive real root. The rational root theorem says it will be one of 1, 5, 7, or 35. It is actually z=7. The corresponding value of x is
x = z² = 7² = 49.
A graphing calculator finds the solution to the original equation easily. (I find it useful to put it in the form f(x)=0.)
x = 49
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Answer:
21,500
Step-by-step explanation:
Given data ( in thousand ) in this year,
28 31 34 35 37 41 42 42 42 47 49 51 52 52 60 61 67 72 75 77,
If each data is increased by $ 3000 in the next year,
So, the data for the next year,
31 34 37 38 40 44 45 45 45 50 52 54 55 55 63 64 70 75 78 80,
Since, the data is already arranged in the ascending order,
The median is 51 which is between 50 and 52,
Thus, the lower half of the Data is, 31 34 37 38 40 44 45 45 45 50,
Having median =
= 42,
Upper half of the data is 52 54 55 55 63 64 70 75 78 80,
Having median = 63.5
Hence, the interquartile range =
= 63.5 - 42
= 21.5
That is, the Interquartile range would be 21, 500.
Divide the perimeter by 5 since it is regular. 60/5 = 12. Split the hexagon into a triangle and a rectangle. Find the area of each and add them together. Area of the rectangle is 12*12 = 144. To find the area of the triangle, you need to find an angle measure= y, hypotenuse = c, and a leg = a or b. An easy way to find an angle measure is to cut down the altitude and find the angle next to the base and altitude which would be 90° due to the fact that the triangle is regular also. With the regular triangle split in half, you have two right angle which form both 90-45-45 triangles. Use this formula, 
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to find the area of the triangle which equals to 50.91. Add (((144+50.91 = 194.91))) I hope I got this right if not, i'm sorry lol.