What is the answer to 3/(2b)=20-b ?

The answer to 3/(2b)=20-b is b=(20-sqrt(394))/2 ,b=(20+sqrt(394))/2

Solve for b: 3/(2b)=20-b

The solution is b=(20-sqrt(394))/2 ,b=(20+sqrt(394))/2

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\frac{3}{2 b} = 20 - b

b = \frac{20 - 394}{2}, b = \frac{20 + 394}{2}

Solution steps

\frac{3}{2 b} = 20 - b

Multiply both sides by

b

\frac{3}{2} = 20 b - b^{2}

Solve

\frac{3}{2} = 20 b - b^{2} : b = \frac{20 - 394}{2}, b = \frac{20 + 394}{2}

b = \frac{20 - 394}{2}, b = \frac{20 + 394}{2}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{20 - 394}{2}, b = \frac{20 + 394}{2}

x, 9 - \frac{1}{x} = x

4 x^{- 2} - 7 x^{- 1} - 15 = 0

81 = \frac{64}{x ^{2}}

(3 x + 5)^{2} = \frac{- 1}{9 x + 15}

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

What is the answer to 3/(2b)=20-b ?
The answer to 3/(2b)=20-b is b=(20-sqrt(394))/2 ,b=(20+sqrt(394))/2
Solve for b: 3/(2b)=20-b
The solution is b=(20-sqrt(394))/2 ,b=(20+sqrt(394))/2