Mathematics: Find all numbers for which the rational expression is undefined z^2+6/z^2-7z-8

Find all numbers for which the rational expression

Ответ:

hntnhtthnyt

09.01.2022

Now.. if a fraction has a denominator that's 0, the fraction is undefined... so hmm for this to happen to this fraction, then it'd look like $\bf \cfrac{z^2+6}{0}\impliedby unde fined$

now, for that to happen, well, the denominator must be equal to 0, and that happens when z²-7z-8 = 0... when is that? well, let's check.

$\bf \cfrac{z^2+6}{z^2-7z-8}\\\\
-------------------------------\\\\
z^2-7z-8=0\implies (z-8)(z+1)=0\implies z=
\begin{cases}
8\\
-1
\end{cases}\\\\
-------------------------------\\\\
\boxed{z=8}\qquad \cfrac{z^2+6}{(8)^2-7(8)-8}\implies \cfrac{z^2+6}{64-56-8}\implies \cfrac{z^2+6}{0}
\\\\\\
\boxed{z=-1}\qquad \cfrac{z^2+6}{(-1)^2-7(-1)-8}\implies \cfrac{z^2+6}{1+7-8}\implies \cfrac{z^2+6}{0}$

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Ответ:

heyItsLuna234

18.06.2022

Mathematics

answer: h

step-by-step explanation:

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Find all numbers for which the rational expression is undefined z^2+6/z^2-7z-8

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