Posted by Christina on Monday, February 13, 2012 at 11:11am.
Your equation has no solution
If you look at the left side ....
(x-4)(3/2)
= [(x-4)^3 ] ^(1/2)
= √(x-4)^3
for all values of x < 4 , √(x-4)^3 will be undefined
for all values of x ≥0, √(x-4)^3 will be positive,
so the result can never be -6
Try this online graphing program
and in the first function line enter
(x-4)^1.5
http://rechneronline.de/function-graphs/
change the x-range from -5 to 5 TO 0 to 10
do the same for the y-range
You will see that your graph starts at (4,0) and rises continuously, no way will you ever get -6
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