(x + a) square (y-b) square

(x + a) square (y-b) square

(x + a) & # 178; one (y-b) & # 178;
=[(x+a)+(y-b)][(x+a)-(y-b)]
=(a+a+y-b)(x+a-y+b)

If the square of a + ax + B = (x + 5) (X-2), then a = (), B = ()

The square of X + ax + B = (x + 5) (X-2)
（x+5）（x-2) = x^2 +3x-10
∴a=3
b=-10

Let f (x) = a x2 + (B-8) (x-a-ab) have two zeros - 3 and 2 respectively

Let f (x) = a x2 + (B-8) (x-a-ab) = a (x + 3) (X-2), that is, ax ^ 2 + (B-8) x - (B-8) (a + AB) = ax ^ 2 + ax-6a. By comparing the coefficients on both sides, we can get B-8 = a - (B-8) (a + AB) = - 6a, find a, B bar, a = (7 + √ 105) / 2, B = (23 + √ 105) / 2 or a = (7 - √ 105) / 2, B = (23 - √ 105) / 2, find the solution of function f (x)

Let a and B be the intersection of the straight line 3x + 4Y + 2 = 0 and the circle x2 + Y2 + 4Y = 0, then what is the equation of the vertical bisector of the line segment AB

From the properties of the circle, we can see that the vertical bisector of the string must pass through the center of the circle, and the vertical bisector is perpendicular to ab
From the circle x2 + Y2 + 4Y = x ^ 2 + (y + 2) ^ 2-4 = 0, it is obtained that:
The center of the circle is (0, - 2)
Also, K AB * k = - 1, and K AB = - 3 / 4
So k = 4 / 3
Then the vertical equation is y + 2 = 4 / 3x
That is: 4x-3y-6 = 0

F (x) is a quadratic function, f (x + 2) = f (X-2). Why is the symmetry axis of F (x) x = 2

That's what you think. Let x = x + 2, then f (x + 4) = f (x)

If the formula √ 2x-1 + √ 1-x is meaningful, find the value range of X

The solution consists of √ 2x-1 + √ 1-x
Then 2x-1 ≥ 0 and 1-x ≥ 0
That is, X ≥ 1 / 2 and X ≤ 1
That is, 1 / 2 ≤ x ≤ 1
That is, the value range of X
1 / 2 ≤ x ≤ 1

If the 2a-1 power of 3x + 5 = 6 is a linear equation with one variable, then a=

The 2a-1 power of 3x + 5 = 6 is about the equation of first degree with one variable
2a-1=1
2a=2
a=1

50%x-30=52                                      4.5x+3.8x=16.614：x=12：16                                        x45=20%

（1）50%x-30=52        0.5x-30=52     0.5x-30+30=52+30           0.5x=82    ...

Simplified evaluation: a + 1 + √ (A & # 178; + 2A + 1) \ (A & # 178; + a) + A / 1, where a = - 1 - √ 3

a=-1-√3
a+1=-√3

15.8x-12.8=3x

15.8x-12.8=3x
Move to 15.8x-3x = 12.8
8 x = 12. 8
The coefficient is reduced to 1 x = 1
(format of PEP example)