Find all values x=4x

2 answers:

8 0

There is only one number that satisfies x=4x, meaning the a number quadrupled is the same number.

That number is 0.

I guess if you want to be technical, then the square root of any negative number would also work. The square root of a negative number doesn't exist, it is what is called an "imaginary number". So in a way an imaginary number would be the same as four times an imaginary number.

If you want to get deep, then there's another case that works. Infinity. Which is a greater value, one infinity or four infinities? They're the same thing because they both never end.

Cerrena [4.2K]4 years ago

4 0

The answer is 0 :D :)

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Whats the maxium volume that hold 1 2/3 inches and length of 2 1/3 and width of 2 inches

Molodets [167]

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let's firstly convert the mixed fractions to improper fractions and the multiply.

$\bf \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=\frac{7}{3}\\ w=2\\ h=\frac{5}{3} \end{cases}\implies V=\cfrac{7}{3}\cdot 2\cdot \cfrac{5}{3}\implies V=\cfrac{70}{9}\implies V=7\frac{7}{9}$