18-(∛27)^3 Find The cube root
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You can divide the whole equation by 2 to get
This is useful, in this case, because any quadratic equation with leading coefficient 1 can be read as
where s is the sum of the two solutions, and p is their product.
So, we know that the two solutions sum to 1/2, and give -5 when multiplied.
But we already know that one solution is 5/2, so if we call the other solution x we have
Just to check, let's see that they give -5 when multiplied:
So it works! The other solution is -2.