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3 years ago

Henry has twice as many fiction.

1 answer:

6 0

Let $x$ be the number of non-fiction books. We deduce that the number of fiction books is $2x$ , since they are twice as much.

Since the difference between the two numbers is 17, we have

$2x-x=17\iff x=17$

So, Henry has 17 non-fictional and 34 fictional books, for a total of 51 books.

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Answer:

$x = 0$ and $x = \textrm{negative one fifth}$

Step-by-step explanation:

Given:

The rational equation to solve is given as:

$\frac{x}{6}=\frac{x^2}{x-1}
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We use the cross multiplication rule and multiply the numerators one side with the denominators of the other side. Therefore,

$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}
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