Question

What are the roots of the equation?

X^2(6x - 11) (7x– 8) = 0

Answer 1

0, 11/6 , 8/7

Explanation:

Answer 2

`0, \frac{11}6, \frac87`

Explanation:

Good thing it's already written as a product, which spares us the most complicated (and boring) part.

We know that a product is zero if it's 0 any of the factors.

From the first one
`x^2=0 \rightarrow x=0`

from the second factor
`6x-11=0 \rightarrow x=\frac{11}6`

and finally, for the third one,
`7x-8 =0 \rightarrow x = \frac87`