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

Question
Decimals
asked 2021-02-05
Find the solution of the equation rounded to two decimals. \(\displaystyle{\frac{{{1.73}{x}}}{{{2.12}+{x}}}}={1.51}\)

Answers (1)

2021-02-06
Calculation: Simplify the given equation by multiplying \(\displaystyle{\left({2.12}+{x}\right)}\) on both side of the equation as, \(\displaystyle{\frac{{{1.73}{x}}}{{{2.12}+{x}}}}\cdot{\left({2.12}+{x}\right)}={1.51}\cdot{\left({2.12}+{x}\right)}\)
\(\displaystyle{1.73}{x}={3.2012}+{1.51}{x}\) Now, substract 1.51x on both sides of the above equation as, \(\displaystyle{1.73}{x}-{1.51}{x}={3.2012}+{1.51}{x}-{1.51}{x}\)
\(\displaystyle{0.22}{x}={3.2012}\) Now divide by 0.22 on both sides of the above equation as, \(\displaystyle{\frac{{{0.22}{x}}}{{{0.22}}}}={\frac{{{3.2012}}}{{{0.22}}}}\)
\(\displaystyle{x}={\frac{{{3.2012}}}{{{0.22}}}}\) Simplify the expression to two decimal places by use of calculator to obtain the value of x. \(\displaystyle{x}={\frac{{{3.2012}}}{{{0.22}}}}\)
\(\displaystyle{x}={14.550909}\)
\(\displaystyle{x}\approx{14.55}\) Therefore, the two decimal approximated solution of the given equation is \(\displaystyle{x}={14.55}\) Answer: The solution of the equation \(\displaystyle{\frac{{{1.73}{x}}}{{{2.12}+{x}}}}={1.51}\) for value of x rounded off to two decimals is 14.55.
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