For this case we have the following polynomial:
[tex]-3x ^ 3 + 30x ^ 2 + 5x - 50 = 0
[/tex]
We can rewrite the polynomial by factoring.
We have then:
[tex]- (x-10) (3x ^ 2 - 5) = 0
[/tex]
Therefore, the roots of the polynomial are given by:
[tex]x-10 = 0
x = 10[/tex]
On the other hand,
[tex]3x ^ 2 - 5 = 0
3x ^ 2 = 5
x ^ 2 = 5/3[/tex]
[tex]x = +/- \sqrt{\frac{5}{3}} [/tex]
Answer:
the roots of the equation are:
[tex]x = +/- \sqrt{\frac{5}{3}} [/tex]
[tex]x=10[/tex]
