The second power of one fourth x minus 4x + 5 equals 0. The second power of 2x minus 7x + 6 equals 0 6X to the second power + x minus 2 equals 0 It all takes steps

The second power of one fourth x minus 4x + 5 equals 0. The second power of 2x minus 7x + 6 equals 0 6X to the second power + x minus 2 equals 0 It all takes steps

   x^2/4--(4x+5)=0
  x^2--16x--20=0
         x^2--16x+64=84
         (x--8)^2=84
&Nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X -- 8 = plus or minus 2 root sign 21
&Nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X1 = 8 + 2 radical 21, X2 = 8 -- 2 radical 21
2.       2x^2--(7x+6)=0
   x^2--7x/2--3=0
          x^2--7x/2+49/16=97/16
          (x--7/4)^2=97/16
&X -- 7 / 4 = plus or minus (root 97) / 4
&Nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X1 = (7 + radical 97) / 4, & nbsp; & nbsp; & nbsp; x2 = (7 -- radical 97) / 4
3.     6x^2+x--2=0
(2x--1)(3x+2)=0
         x1=1/2,    x2=--2/3.

Known: a equals 2x ^ 2 plus 7x minus 1, B equals 4x plus 1
The first question: when x is what value, a equals B
Second, when x is the value, a and B are opposite to each other

a=2x^2+7x-1
b=4x+1
(1)
a=b
2x^2+7x-1=4x+1
2x^2+3x-2=0
2(x+2)(x-1/2)=0
x=-2,x=1/2
(2)
a. B is the opposite number
a+b=0
2x^2+7x-1+4x+1=0
2x^2+11x=0
x(2x+11)=0
x=0,x=-11/2

Is 7 / 1 + 9 / 2 + 7 / 4 + 9 / 7 equal to 1 + 7 / 5 + 7?

Equal to

Evaluation: (tan10 ° - √ 3) sin40 °

tan10°-√3)sin40°=(tan10°-tan60°)sin40°=(sin10°/cos10°-sin60°/cos60°)sin40°=sin40°*(sin10°*cos60-cos10°*sin60°)/(cos10°*cos60°)=sin40°*sin(10°-60°)/(cos10°*1/2)=-2sin40°*sin50°/c...

Given the function f (x) = 2 ^ x + 1 / 2 ^ X-1, G (x) = LG (1-x / 1 + x), then the image of the function H (x) = f (x) * g (x) is symmetric

f(x)=(2^x+1)/(2^x-1),
f(-x)=(2^(-x)+1)/(2^(-x)-1)…… Multiplication of numerator and denominator by 2 ^ x
=(1+2^x)/(1-2^x)=- f(x)
So f (x) is an odd function
g(x)=lg[(1-x)/(1+x)]
g(-x)=lg[(1+x)/(1-x)]
g(-x)+g(x) =lg[(1-x)/(1+x) •(1+x)/(1-x)]
=lg1=0,
g(-x)=-g(x)
So g (x) is an odd function
Function H (x) = f (x) * g (x)
h(-x) =f(-x)*g(-x)
=- f(x) *[-g(x)]
= f(x)*g(x)
= h(x)
So h (x) is an even function
Then the graph of function H (x) is symmetric about y axis

Fill in the appropriate prime number in the line=______ ×______ ×______ =______ +______ ．

Decompose 18 into prime factors: 18 = 2 × 3 × 3; 18 can also be written as the sum of two prime numbers: 18 = 5 + 13 = 7 + 11; so the answer is: 2, 3, 3, 5, 13 or 7, 11

Given that the probability density of random variable x is FX (x), let y = - 2x, then the probability density of Y is
1 / 2fx (- Y / 2), why not negative?

The probability density can't be negative, which is the basic common sense. Just like you said that the probability of an event's occurrence is what percentage, but you can't say that it's negative 50 percentage
The value of probability density can only be between 0 and 1

Given the quadratic function f (x) = ax ^ + BX + C, and for any x ∈ R, 2aX + B = f (x + 1) + x ^ constant, find the analytic expression of F (x)

There are many ways to find the analytic formula, and the undetermined coefficient method is better
F (x + 1) = a (x + 1) ^ 2 + B (x + 1) + C, substituting 2aX + B = f (x + 1) + x ^ 2
Just find out the coefficient

What is the greatest common factor of 12 and 13【

Because 12 and 13 are coprime numbers
The greatest common factor of 12 and 13 is [1]

(A-2 / A ^ 2 + 2a-a-1 / A ^ 2-4a + 4) △ A-4 / A + 2, where a = √ 2-1 (solving process)

(a-2/a^2+2a-a-1/a^2+4a+4)÷a-4/a+2=[(a-2)/a(a+2)-(a-1)/(a+2)^2] ×(a+2)/(a-4)=[(a-2)/a-(a-1)/(a+2)] ×1/(a-4)=(a^2-4-a^2+a)/a(a+2) ×1/(a-4)=(a-4)/a(a+2) ×1/(a-4)=1/a(a+2) =1/(√2-1)(√2+1)=1/(2-1)=1...