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When x is 1 / 2005,1 / 2004,1 / 2003.1/2002.1/2001.1/2000.200020012002200320042005 respectively, calculate the value of the algebraic formula X & sup2 / / 1 + X & sup2; and add the results, the sum of which is____ I know the answer is = 6. But could you please give me a process?
Let X1 = 2000, Y1 = 1 / x1, then X1 ^ 2 / (x1 ^ 2 + 1) + Y1 ^ 2 / (Y1 ^ 2 + 1) = X1 ^ 2 / (x1 ^ 2 + 1) + (1 / x1) ^ 2 / ((1 / x1) ^ 2 + 1) = X1 ^ 2 / (x1 ^ 2 + 1) + 1 / (x1 ^ 2 + 1) = (x1 ^ 2 + 1) / (x1 ^ 2 + 1) = 1, so 2000 + 1 / 2000 + 2001 + 1 / 2001 + 2002 + 1 / 2002 + 2003 + 1 / 2003 + 2004 + 1 / 2004 + 1 / 2004 + 1 /
Given the second power of X + X-1 = 0, find the third power of X + the second power of 2x + 2006
x²+x-1=0
x³+2x²+2006
=x(x²+x-1)+(x²+x-1)+2007
=0+0+2007
=2007
Given x square - X-1 = 0, find the cubic power of - x + 2x + 2006=___________
Good answer, additional reward
Please explain the process in detail. Thank you
Make up an X ^ 2
-x^3+2x+2006= x(-x^2+x+1)+(-x^2+x+1)+2005
=2005
Given X & sup2; - X-1 = 0, find the value of the third power of - x + 2x + 2006
X & sup2 is the third power of X
x²-x-1=0,x²-2=x-1,-x³+2x+2006=-x(x²-2)+2006=-x(x-1)+2006=-(x²-x)+2006=-1+2006=2005
The piecewise function f (x) = | lgx | (0 ＜ x ≤ 10) f (x) = - 1 / 2x + 6 (x > 10) if a, B, C are not equal to each other and f (a) = f (b) = f (c), then the value range of ABC?
How to get | LGA | = LG | B | = - 1 / 2C + 60
The piecewise function f (x) has three monotone intervals
(1) , f (x) = - lgx (0 < x ≤ 1), range (0, ∞), monotonically decreasing;
(2) , f (x) = lgx (1 ≤ x ≤ 10), range (0,1), monotonically increasing;
(3) F (x) = - 1 / 2x + 6 (x > 10)), range (- ∞, 1), monotone decreasing
If a, B and C are not equal to each other and f (a) = f (b) = f (c), it is obvious that each of the above three monotone intervals has one
Hypothesis a
For a granary, the height of the cone is 3cm, the height of the cylinder is 5cm, and the diameter of the bottom is 8cm
The unit "centimeter" should be "meter"
What is the radius of the bottom
8 △ 2 = 4 (m)
What is the volume of a cylinder
4 × 4 × 3.14 × 5 = 251.2 (M3)
What is the volume of a cone
4 × 4 × 3.14 × 3 × 1 / 3 = 50.24 (M3)
What is the volume of the granary
251.2 + 50.24 = 301.44 (M3)
If 3am + 1bn-1 and 4a2b5 are of the same kind, then M=______ ，n=______ ．
According to the definition of similar terms, M = 1, n = 6
The area of a triangle is 20 square centimeters, the bottom is 5 centimeters, and its height is () centimeters
8 cm
All prime numbers, odd numbers and composite numbers within 100
Prime number: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
Odd number: 1 3 5 7 9 11 13 15 17 21 23 25 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 6971 73 77 79 81 83 85 87 89 91 93 95 97 99
Total number: 4 6 8 9 10 12 14 16 20 21 22 25 26 28 30 33 34 35 36 38 39 40 42 44 46 48 49 50 51 52 54 55 56 57 58 60 62 63 64 65 66 68 69 70 72 74 76 77 78 80 81 82 85 86 88 90 91 93 95 98 99 100
The length of one right side of a right triangle is xcm, and the length of the other right side is 9cm. Use the formula containing x to express the area of the triangle, and judge whether the formula is a monomial. If so, state its degree and coefficient
9 / 2x is a binomial. Once. The coefficient is 9 / 2
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