Mathematics: Find the Volume of the Pyramid. Show your work.

Solution: ,Step-by-step explanation:Given:The rational equation to solve is given as:Doing cross product, we get:Now, for , the rational equation is equal to 0. So, is a solution.Also, is also a solution. So, no extraneous solution....

Find the Volume of the Pyramid. Show your work.

Ответ:

nicollexo21

06.03.2021

Mathematics

Solution: $x=-\frac{1}{5}$ , x=0

Step-by-step explanation:

Given:

The rational equation to solve is given as:

$\frac{x}{6}=\frac{x^2}{x-1}$

Doing cross product, we get:

$x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}$

Now, for x=0 , the rational equation is equal to 0. So, x=0 is a solution.

Also, $x=-\frac{1}{5}$ is also a solution.

So, no extraneous solution.

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Find the Volume of the Pyramid. Show your work.

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