Solve the following equation and write the test procedure 2-7 of a = a

Solve the following equation and write the test procedure 2-7 of a = a

2/a-7=a
If you go to the denominator, you get:
2-7a=a²
a²+7a-2=0
Directly use the root formula, first find the discriminant
△=7²-4×1×(-2)=49+8=57
So:
x₁=(-7+√57)/2
x₂=(-7-√57)/2
Because it is a fractional equation, the above two are consistent with the meaning of the question
Note: √ denotes the second radical

How to test the solution of the equation
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Let me give you an example
x+1=2
x=2-1
x=1
Test: substitute x = 1 into the original equation
Equation left = x + 1 = 1 + 1 = 2
Equation right = 2
Because left = right
So x = 1 is the solution of the original equation

Solve the following equation and test it
2X+3X=30
3.5X-1.5X=8

2X+3X=30
5x=30
x=6
The test substitutes x = 6, left = 2 × 6 + 3 × 6 = 30 = right
3.5X-1.5X=8
2x=8
x=4
The test is the same as above

Finding the derivative of y = e ^ sin (ax-b)

y'=e^sin(ax-b)*sin'(ax-b)
=e^sin(ax-b)cos(ax-b)*a
=acos(ax-b)e^sin(ax-b)

(x-3) ^ 2 + 4x (x-3) = 0 solve the equation by collocation method

(x-3) ^ 2 + 4x (x-3) = 0 use the matching method to solve the equation (x-3) (x-3 + 4x) = 0 (x-3) (5x-3) = 0, x = 3 or x = 3 / 5. Benefactor, I think you are a unique talent in the Wulin. If you concentrate on your study, you will become a great weapon in the future. I have a small test. Please click

The formula method is used to solve the following equation

4x∧2-x=9
（2x)^2-2×2x×1/4 +（1/4)^2=9+1/16
(2x-1/4)^2=145/16
2x-1/4=±√145 /4
2x=±√145 /4+1/4
x=(±√145 /4+1/4)/2
x1 = (1+√145)/8 , x2 =(1-√145)/8

1. Use formula method to solve the following equation: ① x-4x + 1 = 0, ② x-x-2 = 0, ③ X-1
1. Solve the following equation by formula method
①x-4x+1=0 ②x-x-2=0
③x-10x+21=0 ④6x-x-12=0
2. If the value of 2x-10 is equal to that of 5x + 2, find the value of X
3. Solve the equation by formula: x + X-1 = 0

x²-1/2x-1=0
x²-1/2x=1
x²-1/2x+1/16=1+1/16
(x-1/4)²=17/16
x-1/4=±√17/4
x=(1±√17)/4
∴x1=(1+√17)/4 x2=(1-√17)/4

Solve the following equation 1.4 (3x-2) ^ 2 = 362. X ^ 2-4x-3 = 0

4(3x-2)²=36
(3x-2)²=9
3x-2 = 3 or 3x-2 = - 3
X = 5 / 3 or x = - 1 / 3
x²-4x-3=0
(x-2)²-7=0
X-2 = √ 7 or X-2 = - √ 7
X = 2 + √ 7 or x = 2 - √ 7

3/4x=2/1x+18

3/4x=2/1x+18；
x/4=18;
x=72;

How to solve the equation (3 / 4x + 60) * 2 / 3 = X-60?

(3/4x+60)*2/3=x-60
The results are as follows
1/2x+40=x-60
x-1/2x=40+60
1/2x=100
x=100÷1/2
x=200