Standard form of linear equation with one variable

Standard form of linear equation with one variable


The standard form is as follows
ax+b=0 ..
Binary one:
ax+by+c =0
...



The general formula of the simplest form is AX = B, where the coefficient a of the unknowns satisfies the condition that


The general formula of the simplest form is AX = B, where the coefficient a of the unknown satisfies the condition that a ≠ 0



What is the standard form of the equation of degree one variable?


One example
5x-5=0 x=1



What is the standard form of linear equation with one variable


ax+b=0



What is the general form of linear equation with one variable?


An equation with only one unknown (also called unary) and its degree is 1 is called unary linear equation. Any unary linear equation can always be reduced to the form AX = B (a ≠ 0), which is the standard form (simplest form) of unary linear equation



If the parabola y = ax & # 178; + BX + C passes through the point (2,4), then the value of the algebraic formula 8A + 4B + 1 is?


Substituting a point into a parabola
4=4a+2b+c
4a+2b=4-c
8a+4b=8-2c
8a+4b+1=8-2c+1
8a+4b+1=9-2c



Using the collocation method to solve the equation (1) (x + 1) &# 178; - 10 (x + 1) + 9 = 0 (2) x & # 178; - 6AX + 9A & # 178; - 4B & # 178; = 0





The formula method is used to solve the following equation A & # 178; + B & # 178; + 2a-4b + 5 = (a + # 178) ²+(b-______) ²


a²+b²+2a-4b+5
=(a²+2a+1)+(b²-4b+4)
=(a+1)²+(b-2)²



If the equation ax-x & # 178; = 0 is followed by 2, then a=


Substitute x = 2 into the equation
2a-4=0
2a=4
a=2



Given y = ax & # 178; + BX, when x = 1, the value of Y is 2; when x = - 2, the value of Y is 5


Typical function for undetermined coefficient
From the problem, point (1,2) (- 2,5) satisfies the function,
When x = 1, the value of Y is 2,2 = a + B
When x = - 2, the value of Y is 5 = 4a-2b
The solution is: a = 1.5, B = 0.5