Question

Identify the roots of the equation. -3x3 + 30x2 + 5x - 50 = 0 A) 10; 5 3 B) 10; ± 5 3 C) 10, ± 15 3 D) 10; ± 15

Answer 1

For this case we have the following polynomial:

`-3x ^ 3 + 30x ^ 2 + 5x - 50 = 0`
We can rewrite the polynomial by factoring.
We have then:

`- (x-10) (3x ^ 2 - 5) = 0`
Therefore, the roots of the polynomial are given by:

`x-10 = 0 x = 10`
On the other hand,

`3x ^ 2 - 5 = 0 3x ^ 2 = 5 x ^ 2 = 5/3`

`x = +/- \sqrt{(5)/(3)}`
Answer:
the roots of the equation are:

`x = +/- \sqrt{(5)/(3)}`

`x=10`