SOLUTION: How would I solve this quadratic equation?: {{{y^3-28y^1.5+27=0}}} (I used decimal exponents because i have no idea how to write fractional exponents on a computer) I have

Question 120103: How would I solve this quadratic equation?:

(I used decimal exponents because i have no idea how to write fractional exponents on a computer)
I have a very rough idea of where to start but am still having a lot of trouble, please help!
James

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for y:

You can solve this problem by substituting another varible for y as follows:
Let , then
Now you can solve this quadratic equation by factoring:
Apply the zero product principle:
or
If then
If then
But we said that , so we make the substitution back:
or
Let's rewrite the exponents:

which can also be written:
Take the cube-root of both sides.
Now square both sides.
and...

Take the cube-root of both sides.
Now square both sides.

The solutions are:
,
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