It is known that the function FX = AX2 + 1 / BX + C is an odd function, (a, B, C belong to Z) and F1 = 2, F2

It is known that the function FX = AX2 + 1 / BX + C is an odd function, (a, B, C belong to Z) and F1 = 2, F2

f(-x)=-f(x)
(ax²+1)/(-bx+c)=-(ax²+1)/(bx+c)
So - BX + C = - bx-c
c=0
f(1)=(a+1)/b=2
a=2b-1
f(2)=(4a+1)/2b

What are the greatest common factor and the least common multiple of 12 and 8

4 and 24

How to solve a ^ 3 + 2A ^ 2-4a-5 = 0

a^3+2a^2-4a-5
=(a³+a²)+(a²-4a-5)
=(a+1)(a²+a-5)
From a ^ 3 + 2A ^ 2-4a-5 = 0
a=-1,
The solution is a = (- 1 ± √ 21) / 2

How to use the Geometer's Sketchpad to make an animation of "a triangle rotates around one of its vertices"?

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0.4x-1/0.5-5-x/2

(0.4x-1)/0.5-(5-x)/2

Let x, x + 1, x + 2 be the length of the three sides of an obtuse triangle, and find the value range of the real number X

Known as obtuse triangle
From Pythagorean theorem, we infer a & # 178; + B & # 178; > C & # 178;
So x & # 178; + (x + 1) & # 178; > (x + 2) & # 178;
x²-2x-3>0
(x-3)(x+1)>0
Obviously, edge x > 0
So the solution is x > 3

A quadratic function image, when the independent variable x = 0, the function value y = - 3, when x = - 3 and 1 / 3, y = 0, then what is the analytic formula of the quadratic function?

Suppose y = ax ^ 2 + BX + C
Substitution point (0, - 3) (- 3,0) (1 / 3,0)
C=-3
9a-3b+c=0
a/9+b/3+c=0
a=3,b=8
Analytical formula y = 3x ^ 2 + 8x-3

Let x = cos Φ cos θ y = cos Φ sin θ determine the function z = (x, y) and find the partial derivative of Z to X

x^2+y^2+z^2=cos^2φcoc^2Θ+cos^2φsin^2Θ+sin^2φ=1.
F=x^2+y^2+z^2
Fx=2x
Fz=2z
The partial derivative of Z to x = one FX / FZ = one X / Z

A square is made of several pieces. There are 60 pieces in the outermost layer. The square has () pieces in common

Each layer has 8 differences, so it is: 60 + 52 + 44 + 36 + 28 + 20 + 12 + 4 = 256

The vertex of quadratic function y = x & # 178; + 2x + 9 is?

y=x²+2x+9=(x+1)²+8
The vertex is (- 1,8)