What are the roots of the equation?
X^2(6x - 11) (7x– 8) = 0
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Answer:
[tex]0, \frac{11}6, \frac87[/tex]
Step-by-step 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 [tex]x^2=0 \rightarrow x=0[/tex]
from the second factor [tex]6x-11=0 \rightarrow x=\frac{11}6[/tex]
and finally, for the third one, [tex]7x-8 =0 \rightarrow x = \frac87[/tex]