Week 12-Solving Absolute value Equations
This we learn how to solve the solution of the absolute value Equation
First we learned how to use the graph to solve
this question is asking that what’s the x solution are by looking the graph
we can see the equation
|-3x+3|=9
The y intercept is 3
So there two possible inside the absolute
First:-3x+3=9
-3x=6
x=-2
Second:-(-3x+3)=9
3x-3=9
3x=12
x=4
And because of when the y=9 touch the linear the x=-2,4
so the solution are -2,4.
EX:Another example is about the x square
Formula:
First possible
x is positive
(x+2)(x+4)=0
x=-2,x=-4
Second posible
x is negative
(x+2)(x+8)=0
x=-2,x=-8
Because absolute can’t be the negative.so when x=-4 ,x=-8
4+2x is negative , so they can’t be the solution of this,
so the solution is x=-2