Use the graph to find estimates for the solutions of [tex]3x {}^{2}  3x  1 = x + 1[/tex]
Question
[tex]3x {}^{2}  3x  1 = x + 1[/tex]
2 Answer

1. User Answers jimrgrant1
Answer:
x =  0.25, x = 1.25
Stepbystep explanation:
The solutions to the equation are the values of x where the graph crosses the x axis, that is as an estimate
x ≈  0.25 and x ≈ 1.25

2. User Answers freckledspots
Answer:
[tex]x=0.4[/tex]
[tex]x=1.7[/tex]
Hopefully the answers are accepted to the nearest tenths.
Stepbystep explanation:
Since the left hand side was already graphed, we just need to graph the right hand side which is [tex]x+1[/tex].
We are going to still let [tex]y[/tex] represent the outputs of [tex]x+1[/tex].
So we want to graph the equation [tex]y=x+1[/tex] on the same graph as the parabola, the almost U shaped graph.
You could make a table to plot the equation.
[tex]y=x+1[/tex]
[tex]x[/tex]  [tex]y[/tex]  ordered pair to graph [tex](x,y)[/tex]

2 2+1=1 (2,1)
1 1+1=0 (1,0)
0 0+1=1 (0,1)
1 1+1=2 (1,2)
2 2+1=3 (2,3)
The purple line I made is the line formed from these points which was generated from the equation [tex]y=x+1[/tex].
Now where the blue curve touches the purple line is our solutions. I put those in orange.
The solutions are approximately, [tex]x=0.4[/tex] or [tex]x=1.7[/tex].
Hopefully, it accepts solutions to the nearest tenths.
We are trying to approximate where those orange dots are on the number line. Please see attachment 2.