How do you solve #3x^2-8=0 # graphically?

1 Answer
Rhys
Dec 29, 2017

Graphical approach....

#x approx pm 1.63 #

Explanation:

So an alternative way of solving this is graphically,

The solution to this problem is hence were the function,
#y = 3x^2 - 8 # and #y = 0 # intersect

So we can now sketch the two functions, we can grpah the line #y=0#, this is just the #x# - axis, then sketch the curve, #y = 3x^2 -8 #, there is a few ways of doing this, one being by plotting many diffiferent points over a particular domain:

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We can see by plotting a few points, that where they intersect is
#x approx pm 1.63 #

This is just a method without using calculator and just graphical approaches.

But the actuall answer is #x = pm sqrt( 8/3) = pm (2sqrt(6))/3 #

You can see this in the other answer provided...

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