What are all the real zeros of y = (x - 12)3 - 10?
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OpenStudy (anonymous):
@vineeth10
OpenStudy (anonymous):
any options?
OpenStudy (anonymous):
yes hold up
OpenStudy (anonymous):
I looked it up and "real zeros" is where the graph touches the x-axis, meaning y = 0. So to solve this you set y = 0, and then solve for x. I already solved it and got the answer, but try it yourself and see what you get.
OpenStudy (anonymous):
y = (x-12)3 - 10
...
y = 3x - 36 - 10
y = 3x - 46
...
3x - 46 = 0
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OpenStudy (anonymous):
3x = 46
x = 46/3 or 15 1/3
OpenStudy (anonymous):
Yes the correct answer is x = 46/3. vineeth10 is correct =)
OpenStudy (anonymous):
yep thanks @lamaguineapig
OpenStudy (anonymous):
B.x=^3sqrt 10 +12
OpenStudy (anonymous):
C.x=^3sqrt-10+12
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OpenStudy (anonymous):
x=^3√(10)+12
OpenStudy (campbell_st):
why not make it easy set the equation to zero
\[(x - 12)^3 - 10 = 0\]
so
\[(x - 12)^3 = 10\]
then
\[x - 12 = \sqrt[3]{10}\]
and you can finish from here