Given the real number a, B, C, a + B + C = 0. Prove: A ^ 3 + B ^ 3 + C ^ 3 > 0 if and only if a ^ 5 + B ^ 5 + C ^ 5 > 0

Given the real number a, B, C, a + B + C = 0. Prove: A ^ 3 + B ^ 3 + C ^ 3 > 0 if and only if a ^ 5 + B ^ 5 + C ^ 5 > 0

Take C = - A-B in,
A ^ 3 + B ^ 3 + C ^ 3 > 0 is equivalent to 3AB (a + b) 0 is equivalent to 5ab (a ^ 2 + AB + B ^ 2) (a + b)

Given that the real number ABC satisfies √ (a ^ 2-3a + 2) + | B + 1 | + (c + 3) ^ 2 = 0, find the root of the equation AX ^ 2 + BX + C = 0

Because √ (A & # 178; - 3A + 2) ≥ 0, | B + 1 | ≥ 0, (c + 3) &# 178; ≥ 0, and the sum of these three parts is zero, then there can only be: A & # 178; - 3A + 2 = B + 1 = C + 3 = 0, the solution is a = 1 or a = 2, B = - 1, C = - 3

When the absolute value of X + 1 + 5 reaches the minimum, x = (), then the absolute value is ()

Solution
∵/x+1/≥0
∴/x+1/+5
≥5
The minimum value of / x + 1 / + 5 is: 5
Then x + 1 = 0
∴x=-1
The absolute value is 0

What is the symmetry of the image f (x) = LG (2 / 1-X-1)

If f (x) = LG (2 / (1-x) - 1) = LG ((1 + x) / (1-x))
Its domain is - 1

Find the proper prime number 91 = () × () 39 = () × ()

91=（7）×（13）
39=（3）×（13）

10. Y independent random variables, u (0,1), u (0,1), find z = x + y density function

F(X)= 0, x=

The maximum value of the function y = 2sin2x + 2cosx-3 is ()
A. -1B. 12C. -12D. -5

Y = 2sin2x + 2cosx-3 = - 2cos2x + 2cosx-1 = - 2 (cosx-12) 2-12 ≤ - 12. The maximum value of y = 2sin2x + 2cosx-3 is − 12

3 times 3 / 1 equals 1, and 3 / 1 is 0.33 cycle. Why is 0.33 cycle times 3 equal to 0.99 cycle, but not 1?

0.33 cycle times 3 equals 0.99 cycle, not 1
0.999999 ...= 1

The square of a = x - XY, the square of B = XY + y is 1.a + B 2.3a-b

1.A+B
=The square of X - XY + XY + y
=Square of X + square of Y
2.3A-B
=The square of 3x - the square of 3xy-xy-y
=The square of 3x - the square of 4xy-y

How does the Geometer's Sketchpad draw a specified circle at a fixed point?
Given a fixed point and a line segment outside the point, how to draw a circle with this fixed point as the center and this line segment as the radius?