Question

solve for x:
x:5sqrtx

Answer 1

what is exactly the equation?

Answer 2

\[\frac{ x }{ 5\sqrt{x} }\]

Answer 3

=24

Answer 4

\[\frac{ x }{ 5\sqrt{x} }=24\]

Answer 5

\(\large\color{black}{ \displaystyle \frac{x }{5\sqrt{x}}=24 }\)

\(\large\color{black}{ \displaystyle 5\sqrt{x}=24 }\)

\(\large\color{black}{ \displaystyle \sqrt{x}=4.8 }\)

\(\large\color{black}{ \displaystyle (\sqrt{x})^2=(4.8)^2 }\)

\(\large\color{black}{ \displaystyle x=? }\)

Answer 6

why is \[\frac{ x }{ 5\sqrt{x}}=24 \] the same as\[5\sqrt{x}=24\]

Answer 7

I did it incorrectly at the 3rd line

Answer 8

to answer your question.

\(\large\color{black}{ \displaystyle \frac{x}{5\sqrt{x}}=24 }\)

\(\large\color{black}{ \displaystyle \frac{x\times \sqrt{x}}{5\sqrt{x}\times \sqrt{x}}=24 }\)

\(\large\color{black}{ \displaystyle \frac{x\times \sqrt{x}}{5x}=24 }\)

\(\large\color{black}{ \displaystyle \frac{\sqrt{x}}{5}=24 }\)

Answer 9

then multiply both sides times 5
\(\large\color{black}{ \displaystyle \sqrt{x}=100 }\)

Answer 10

and if \(\large\color{black}{ \displaystyle \sqrt{x}=100 }\), then \(\large\color{black}{ \displaystyle x=? }\)

Answer 11

1000, so in that case 120x120

Answer 12

so the answer is 14400 right ?

Answer 13

x=10000

Answer 14

\(\large\color{black}{ \displaystyle \sqrt{x}=100 }\)
\(\large\color{black}{ \displaystyle (\sqrt{x})^2=(100 )^2 }\)
\(\large\color{black}{ \displaystyle x=10{\tiny~~}000 }\)

Answer 15

But 24x5=120 right. So x must be 120x120=14400 ?