What is the answer to ((2-r))/((r))=sqrt(1.25) ?

The answer to ((2-r))/((r))=sqrt(1.25) is r=0.94427…

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((2-r))/((r))=sqrt(1.25)

\frac{( 2 - r )}{( r )} = 1.25

r = 0.94427 \dots

Solution steps

\frac{( 2 - r )}{( r )} = 1.25

Simplify

\frac{( 2 - r )}{( r )} : \frac{2 - r}{r}

\frac{2 - r}{r} = 1.25

Multiply both sides by

r

2 - r = 1.25 r

Move

2

to the right side

- r = 1.11803 \dots r - 2

Move

1.11803 \dots r

to the left side

- 2.11803 \dots r = - 2

Divide both sides by

- 2.11803 \dots

r = 0.94427 \dots

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = 0.94427 \dots

\frac{7}{x - 9} = \frac{2}{x - 9}

\frac{14 x + 3}{7 x + 6} = \frac{1}{2}

\frac{32}{8} = \frac{4}{x}

0 = \frac{2 x ^{2} - 9}{3 - x}

\frac{4}{x - 2} = 1 + \frac{6}{x + 2}

What is the answer to ((2-r))/((r))=sqrt(1.25) ?
The answer to ((2-r))/((r))=sqrt(1.25) is r=0.94427…
Solve for r: ((2-r))/((r))=sqrt(1.25)
The solution is r=0.94427…