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Mathematics 24 Online
OpenStudy (jpes2193):

Radicals: See Comments

OpenStudy (jpes2193):

\[y ^{2/3}+12=7y ^{1/3}\]

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

the gimmick is to think of this as a quadratic equation in \(y^{\frac{1}{3}}\)

OpenStudy (misty1212):

put say \(x=y^{\frac{1}{3}}\) then solve \[x^2+12=x\]

OpenStudy (misty1212):

solve as normal for a quadratic equation \[x^2-x+12=0\] factor etc then once you have solved for \(x\) replace \(x\) by \(y^{\frac{1}{3}}\) and solve for \(y\)

OpenStudy (misty1212):

you got this or no?

OpenStudy (jpes2193):

\[\sqrt[3]{-3}\]

OpenStudy (jpes2193):

\[\sqrt[3]{4}\]

OpenStudy (misty1212):

you got it backwards i think

OpenStudy (misty1212):

\[y^{\frac{1}{3}}=-3\\ y=(-3)^3\]

OpenStudy (misty1212):

also for the four

OpenStudy (misty1212):

got that?

OpenStudy (jpes2193):

-27, 64

OpenStudy (misty1212):

yes i think so

OpenStudy (jpes2193):

awesome thanks again :)

OpenStudy (misty1212):

\[\color\magenta\heartsuit\]

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