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OpenStudy (wcrmelissa2001):
Help please :)
(I'm supposed to solve this using a graphical approach)
Use this graph to solve the following equations
x3-4x2=2x-8
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OpenStudy (wcrmelissa2001):
OpenStudy (wcrmelissa2001):
oh wait sorry the equation of the graph im supposed to use is y=x3-4x2+3x+4
OpenStudy (phi):
what is the equation of the plotted curve ?
OpenStudy (wcrmelissa2001):
y=x3-4x2+3x+4 im supposed to use that to solve x3-4x2=2x-8
OpenStudy (phi):
so you have
\[ y=x^3-4x^2 +3x + 4\]
and you want to solve
\[ x^3-4x^2=2x-8\]
?
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OpenStudy (wcrmelissa2001):
yeah based on the graph or smth
OpenStudy (phi):
rewrite your equation as
\[ x^3 -4x^2 -2x +8=0 \]
OpenStudy (wcrmelissa2001):
like e.g. the previous questions were easier like solve x3-4x2+3x=0
OpenStudy (phi):
if we add 5x-4 to both sides we get
\[ x^3 -4x^2 +3x +4 = 5x-4\]
OpenStudy (wcrmelissa2001):
oh
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OpenStudy (phi):
if I did that correctly, the left-hand side is your graph.
and we have to find where the line 5x-4 intersects it
OpenStudy (wcrmelissa2001):
oh i see. thanks :D
OpenStudy (phi):
by eyeball, it looks like the answer is
x is about 1.4
OpenStudy (wcrmelissa2001):
about there :D thanks!!!!
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