If the equation (2 - | m | x | x | + (m-2) x - (5-2m) = 0 is a linear equation of one variable, find the solution of M

If the equation (2 - | m | x | x | + (m-2) x - (5-2m) = 0 is a linear equation of one variable, find the solution of M

According to the title:
2 - | m | = 0, M = ± 2
And m-2 ≠ 0, m ≠ 2
To sum up, M = - 2

If (A-1) x 2 + X + 3 = 0 is a linear equation of one variable with respect to x, find the value of a and find the solution of this equation

∵ (A-1) x ∵ + X + 3 = 0 is a one variable linear equation about X
So the quadratic term (A-1) x 2 = 0, that is, A-1 = 0, a = 1
So x + 3 = 0, so x = - 3

If the equation (K + 2) x 2 + 4kx-5k = 0 on X is a linear equation of one variable, then the solution X of the equation is X=

Answer now
Because the equation is one variable, so the coefficient of quadratic term K + 2 = 0, k = - 2,
By introducing the original formula into the formula: - 8x + 10 = 0, x = 5 / 4

Exercises of one variable linear equation

1. Fill in the blanks (2 points for each question, 20 points in total)
1. The solution of equation 5x + 4 = 4x-3 also conforms to equation 2x + M = 2, then M=____ .
2. If x = - 4 conforms to the equation kx-4 = 2x, then the value of the algebraic formula (3K? 2 + 6k-8) 2? ℃? Is -
3. If the algebraic expression 7x-3 and 1 / 3 are reciprocal of each other, the value of X is --
4. If the equation (M + 1) x 2 + 2mx = 0 on X is a one variable linear equation, then M=________ The solution of the equation is --
5. The solution of the equation x = - x is -
6. A shop is promoting some famous brand shirts, and now it has announced two promotion plans: the first one is to buy 10 pieces, and the other is to give you a 10% discount. Please calculate which one is more beneficial to the customers? A: No
7. If the sum of a and B is 112, and the number of a is 4 times less than that of B, then the number of a is -
Divide 150 into two numbers, and the ratio of the two numbers is 3:7
9. The purchase price of a commodity is x yuan per piece, and the retail price is 900 yuan. In order to adapt to the market competition, the store reduces the price by 10% of the retail price and sells it with 40 yuan of profit. If the profit margin is 10%, the purchase price is -
10. A three digit number, in which the single digit is x, the 100 digit is 1 greater than the single digit, and the 10 digit digit is 1 less than the single digit, then the three digits are -
2、 Multiple choice questions (3 points for each question, 33 points in total)
11. Divide both sides of equation - 8x = 2 by - 8 to get (- ---)
A,X=-4-----B,X=1/4,.C,X=4.D,X=-1/4
12. The correct one of the following items is (___ )
A. From 5 + x = 12, x = 5 + 12. B, 7x = 4x-3, 7x-4x = 3
C. From 10x = 11x-2, 10x + 11x = - 2. D, X-5 = 4x + 2, x-4x = 2 + 5
13. The correct solution to equation 3 - (3x-5) / 2 = - (x + 1) / 7 is (-)
A,3-7(3X-5)=-2(X+1).B.42-21X-5=-2X+1.C,42-21X+35=-2X-2.D,42-21X-35=-2X+2
(14) If the value of the algebraic expression (3K + 5) / 7 is 2, then K should be equal to ()
A,-1 B,19/3 C,7/3 D,3
(15) If the values of the algebraic expressions 8x-7 and 6-2x are opposite to each other, then the value of X is ()
A,X=-13/10 B,X=-1/6 C,X=1/6 D,X=3/10
(17) There is such a fable in ancient times: donkeys and mules go together, they carry different bags of goods, each bag of goods are the same weight, the donkey complained that the burden is too heavy, the mule said: "why do you complain? If you give me a bag, I will bear twice as much as you; if I give you a bag, I will bear twice as much as you, We're just carrying as much! "So what's the number of bags the donkey was carrying
A,5 B,6 C,7 D,8
(18) Use a piece of wire to form a rectangle with length of 24 and width of 12. If it is transformed into a square, the area of the square is ()
A,81 B,8 C,324 D,326
(19) If you want to restore the original price after a 25% price increase, you should reduce the price ()
A,15% B,20% C,25% D,40%
Send it here today, the rest will be sent next time
（14）

If Tan α = - 1 / 2, then sin 2 α - 2 sin α cos α + 1

sin²α-2sinαcosα+1
=(sin²α-2sinαcosα+sin²a+cos²a)/(sin²a+cos²a)
=(2tan? A-2tana + 1) / (tan? A + 1) denominator is divided by cos? A at the same time
=(1/2+1+1)/(1/4+1)
=2

If Tan (π + α) = 2, then the value of (2Sin α cos α) - Sin 2 α is

tanα=2
The original formula = 2tan α / (Tan 2 α - 1)
=4/3

If Tan α = - 1 / 2, then the value of 1 + 2Sin α × cos α / sin? α - cos? α is

1+2sinα×cosα / sin²α-cos²α
=(sin²α+cos²α+2sinα×cosα) / (sin²α-cos²α)
=(tan²α+1+2tanα) / (tan²α-1)
=(1/4+1-1)/(1/4-1)
=-1/3

It was proved that 1-tan α △ 1 + Tan α = 1-2sin α cos α △ cos α - sin α It was proved that 1-tan α △ 1 + Tan α = 1-2sin α cos α △ cos 2 - sin, and 1-tan α △ 1 + Tan α = 1-2sin α cos α △ cos 2 - sin α

On the right side = (sin? 2A + cos? A-2sinacosa) / (COSA + Sina) (COSA Sina) = (COSA Sina) / (COSA + Sina) (COSA Sina) = (COSA Sina) / (COSA + Sina) = (COSA Sina) / (COSA + Sina) = (1-tana) / (1 + Tana) = right

It is known that Tan α = 2 / 3. Then the value of sin? α - 2Sin α cos α + 1 is ()

Tan α = 2 / 3 (sin? α - 2Sin α cos α + 1) / (sin? 2A + cos? A) = (2Sin? A-2sinacosa + cos? A) / (sin? 2A + cos? A) divided by cos? A, the result is = (2tan? A-2tana + 1) / (tan? A + 1) = (8 / 9-4 / 3 + 1) / (4 / 9 + 1) = (5 / 9) / (?)

Given Tan (3 π + α) = 2, find: 1, (sin α + cos α) 2; 2. Sin α - cos α / 2Sin α + cos α

tan（3π+α）=2；-》tanα=2；
Sin α = 2 (Radix 5) / 5;
Cos α = (Radix 5) / 5;
or
Sin α = - 2 (Radix 5) / 5;
Cos α = - (radical 5) / 5;
1. (sin α + cos α) 2 = (3 / (Radix 5)) 2 = 9 / 5;
2. Sin α - cos α / 2Sin α + cos α = sin α + cos α - 1 / (2tan α) = ± (3 (Radix 5) / 5) - 1 / 4;
=(3 (radical 5) / 5) - 1 / 4;
Or = - (3 (radical 5) / 5) - 1 / 4;