ankarskogC

2021-02-05

Find the solution of the equation rounded to two decimals.
$\frac{1.73x}{2.12+x}=1.51$

au4gsf

Skilled2021-02-06Added 95 answers

Calculation:
Simplify the given equation by multiplying $(2.12+x)$ on both side of the equation as,
$\frac{1.73x}{2.12+x}\cdot (2.12+x)=1.51\cdot (2.12+x)$

$1.73x=3.2012+1.51x$
Now, substract 1.51x on both sides of the above equation as,
$1.73x-1.51x=3.2012+1.51x-1.51x$

$0.22x=3.2012$
Now divide by 0.22 on both sides of the above equation as,
$\frac{0.22x}{0.22}=\frac{3.2012}{0.22}$

$x=\frac{3.2012}{0.22}$
Simplify the expression to two decimal places by use of calculator to obtain the value of x.
$x=\frac{3.2012}{0.22}$

$x=14.550909$

$x\approx 14.55$
Therefore, the two decimal approximated solution of the given equation is $x=14.55$
Answer:
The solution of the equation $\frac{1.73x}{2.12+x}=1.51$ for value of x rounded off to two decimals is 14.55.

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