Solve an equation, you heroes do me a favor.

Since we have guessed that a solution is x=1, it can be reduced to the following:

The equation is: 4(7-x) 2 x 2=3(x-7) 2+364(x 2-14x+49)=3(x 2-14x+49) x 2+36x 2

x-1) (3x 3-39x 2+140x+196)=0 to obtain x-1=0, or 3x 3-39x 2+140x+196=0x1=1, the latter is a 3rd order equation, which can only be solved by the formula to have a unique real root x2=

196/x^2 -56/x+4)=3x^2-42x+147+364(49/x^2-14/x+1)=3(x^2-14x+61)4(49-14x+x^2)=3(x^4-14x^3+61x^2)3x^4-42x^3+179x^2+56x-196=03x^4-3x^3-39x^3+39x^2+140x^2-140x+196x-196=0 (1)

x-1)(3x 3-39x 2+140x-196)=0x1=13x 3-39x 2+140x-196=0 (2) For equation (2), the iterative method approximates the solution: x=[(196+39x 2-140x) 3] (1 3) x0=

After a few iterations, we get: x2=

Subtracting the factor (x-x2) from (2) yields the following quadratic equation:

3x^ (3)

x3,4=[土 (土.

Earth i This is a quadratic equation with 4 solutions: two real roots, and a pair of conjugate complex roots.

Of course, you can help solve these equations, please see the following answers:

x + 5 =

Moving 5 to the right of the equal sign, we get:

x = - 5

x =x - =

Moving the item to the right of the equal sign, we get:

x = +x == 27

Dividing both sides of the equation by , we get:

x = 27 /

x = 15

56 - x = 35

Moving -x to the right of the equal sign, we get:

x = 56 - 35

x = 21

3x + 5 * 4 =

First we calculate 5 * 4 = 20, and then we get:

3x + 20 =

Moving 20 to the right of the equal sign, we get: Oak Pure.

3x = Divide the two good barricades of the equation by 3 and we get:

x = / 3

x =- =

First, dividing the two sides of the equation by , we get:

Moving the item to the right of the equal sign, we get:

Dividing the two sides of the equation by , we get:

x = /x = 74

x + / =

Multiplying both sides of the equation by , we get:

x + = moves to the right of the equal sign, and we get:

x = -x = This is the solution of each equation.

x=239/43

y=-236/43

It's annoying. Which clan has traces of annihilation and people's questions, it is really a lot of talk about the old man.

15x+

15x=15x=42

I wish you all the best in your study, work and life!! Family harmony and happiness!!

4^x=2^2x=2=2^1

2x=1x=1/2

First, the two sides of the equation are reduced to the same base, and the exponents are equal.

4^x=2

Solution: 4 x = 2 2 x = 2

Based on the same base, the exponents are equal to the following results:

2x=1,x=1/2

The solution to this kind of problem is generally to find a way to turn the base number of each power into the same number, and then solve it according to the equality of exponents.

4^x=2

2^(2x)=2

2x=1x=1/2

Unify the bases.

It is also possible to: 4 x = 4 1 2

x=1/2

The x-square of 4 is converted to the 2x-square of 2, and the problem is converted to the same bottom, and the exponents are equal again.

For 4 squares, it would be equal to 2, so x= 1 2

Please refer to the solution of the following question.

1200x+1275y+2900z=117200 are all less than 30, find how much each is.

Solution: 1200x+1275y+2900z=117200, divide by 25 on both sides, get 48x+51y+116z=4688, easy to know y is a multiple of 4, let y=4k, the integers are less than 30, k<=7, become 12x+29z=1172-k, x=-12(1172-k)+29m, z=5(1172-k)-12m, where k,m are natural numbers, for example, k=7, x=29m-13980<30, z=5825-12m<30, the solution is 482, so x=27, y=28, z=29

The rest is left for you to practice, is that okay?

This is a system of pathological equations, and after the simultaneous formula is eliminated y, the image ezplot( is made with MATLAB'z=10000*12^',[-1e-16,1e-16])

It can be seen that the middle paragraph is basically horizontal.