Solving quadratic equation with one variable by collocation method (1) The square of X - 4x + 7 = 0 (2) 4X square + 8x-12 = 0

Solving quadratic equation with one variable by collocation method (1) The square of X - 4x + 7 = 0 (2) 4X square + 8x-12 = 0


(1)
X^2-4X+7=0
X^2-4X+4+3=0
(X-2)^2+3=0
(X-2) ^ 2 > = 0, (X-2) ^ 2 + 3 > = 3, all the equations have no solution
(2)
4X^2+8X-12=0
4X^2+8X+4-16=0
(2X+2)^2=16
2X + 2 = 4 or 2x + 2 = - 4
That is, x = 1 or x = - 3



On the equation of X (M + 4) the second power of x minus 14 + (M minus 2) x minus 15 = 0, what is the value of m when this equation is a quadratic equation of one variable


When m = √ 2 or - √ 2



If the solution of the equation 3x + a = x-3 about X is negative, then the value range of a is?


3X+a=X-3
2X=-3-a
X=(-3-a)/2
The solution is negative
X



If the solution of the equation a (3x-2) = 2x-1 about X is negative, then the value range of a is______ .


The solution of the equation is: 3ax-2a = 2x-1, (3a-2) x = 2a-1, x = 2A − 13a − 2, ∵ the solution is negative, ∵ x < 0, ∵ 2A − 1 > 03A − 2 < 0 or 2A − 1 < 03A − 2 > 0, the solution is 12 < a < 23 or no solution, and the value range of ∵ A is 12 < a < 23



For the equation of X, if the solution of 3x + 4A = 2 is negative, then the value range of a is


3x = 2-4a, x = (2-4a) / 31 / 2, what do you think



Solution equation: 2 / 3x + 1-2 = 10 / 3x-2-5 / 2x + 3


2 / 3x + 1-2 = 10 / 3x-2-5 / 2x + 3
[﹙3/2﹚﹣﹙3/10﹚﹢﹙2/5﹚]X=2
﹙8/5﹚ X=2
X=5/4



Solve the equation: 5 (x + 2) = 3x (x + 2), find the speed


5(x+2)=3x(x+2)
5(x+2)-3x(x+2)=0
(x+2)(5-3x)=0
X = - 2 or x = 5 / 3



Solving the equation x ^ 2 + 3 / x ^ 2-3x = 3x-4
x^2+3/(x^2-3x)=3x-4


x^2+3/x^2-3x=3x-4
2/x^2=4
x=8



Solve the equations 2 / 3x-1 = 1 / 1-x and 4 / x ^ 2 + 1 / x = 2 / X-2
2/3x-1=1/1-x
4/x^2+1/x=2/x-2


2/3x-1=1/1-x
Diagonal multiplication
2(1-x)=3x-1
2-2x=3x-1
5x=3
x=3/5
The fractional equation needs to be tested
It is proved that x = 3 / 5 is the solution of the original equation
4/x^2+1/x=2/x-2
(4+x)/x^2=2/(x-2)
Diagonal multiplication
(4+x)(x-2)=2x^2
x^2+2x-8=2x^2
x^2-2x+8=0
This equation has no solution



Solve the equation: if the sum of 2 X-1 and 2 x + 1 is 3, what is the value of X?


The correct answer is: solve the equation (2x-1) / 5 + (x + 1) / 2 = 3, multiply both sides by 10, 4x-2 + 5x + 5 = 30, solve the equation x = 3
I hope my answer will help you!