What is the answer to (2α)/(1-α)=sqrt(113.49) ?

The answer to (2α)/(1-α)=sqrt(113.49) is α=0.84193…

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(2α)/(1-α)=sqrt(113.49)

\frac{2 α}{1 - α} = 113.49

α = 0.84193 \dots

Solution steps

\frac{2 α}{1 - α} = 113.49

Multiply both sides by

1 - α

2 α = 113.49 (1 - α)

Expand

113.49 (1 - α) : 10.65316 \dots - 10.65316 \dots α

2 α = 10.65316 \dots - 10.65316 \dots α

Move

10.65316 \dots α

to the left side

12.65316 \dots α = 10.65316 \dots

Divide both sides by

12.65316 \dots

α = 0.84193 \dots

Verify Solutions

Find undefined (singularity) points:

α = 1

Combine undefined points with solutions:

α = 0.84193 \dots

- 0.91 = \frac{550500 - 562750}{x}

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

t, A = (\frac{1}{t})

2 - \frac{3 x}{x - 10} = x

0 = \frac{- 4}{9 x + 100}

What is the answer to (2α)/(1-α)=sqrt(113.49) ?
The answer to (2α)/(1-α)=sqrt(113.49) is α=0.84193…
Solve for α: (2α)/(1-α)=sqrt(113.49)
The solution is α=0.84193…