SOLUTION: Graph the system of equations y=x^4-3x� and y=2x-6. Find the points of intersection. Give an exact answer. PLEASE HELP ME! I don't know what to do!!

Question 166393: Graph the system of equations y=x^4-3x� and y=2x-6. Find the points of intersection. Give an exact answer. PLEASE HELP ME! I don't know what to do!!
Found 2 solutions by jojo14344, Fombitz:
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
system of equations ---> EQN 1, and ----> EQN 2:
EQN 1:
If you look on the graph below, we find closest,so

EQN 2:
f(y)=0: --->

f(x)=0:
SEE GRAPH:
--- See points of intersection-->(3,0) & (1.25,-3.418)
Thank you,
Jojo
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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A closer look
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Looks like (3,0) may be an intersection point.
Try it.
y=2x-6
0=2(3)-6
0=0
True.
y=x^4-3x^3
0=3^4-3(3^3)
0=0
True
(3,0) is a solution.

Can't find the second solution exactly by graphing.
Iteration is required.
x=1.25 is a good start point.
Iteration leads to x=1.259922 with corresponding y=-3.48016.

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