What is the answer to -1/(-b+3)= b/2 ?

The answer to -1/(-b+3)= b/2 is b=-(-3+sqrt(17))/2 ,b=(3+sqrt(17))/2

Solve for b: -1/(-b+3)= b/2

The solution is b=-(-3+sqrt(17))/2 ,b=(3+sqrt(17))/2

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- \frac{1}{- b + 3} = \frac{b}{2}

b = - \frac{- 3 + 17}{2}, b = \frac{3 + 17}{2}

Decimal Notation

b = - 0.56155 \dots, b = 3.56155 \dots

Solution steps

- \frac{1}{- b + 3} = \frac{b}{2}

Cross multiply

- 2 = (- b + 3) b

Solve

- 2 = (- b + 3) b : b = - \frac{- 3 + 17}{2}, b = \frac{3 + 17}{2}

b = - \frac{- 3 + 17}{2}, b = \frac{3 + 17}{2}

Verify Solutions

Find undefined (singularity) points:

b = 3

Combine undefined points with solutions:

b = - \frac{- 3 + 17}{2}, b = \frac{3 + 17}{2}

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

\frac{1}{( x + 3 )} (x + 3) = 1, x \neq = - 3

\frac{4}{r - 4} + \frac{12}{r + 4} = 2

0 = \frac{( x - a ) ^{2}}{x ^{2} + 5}

1 = \frac{70000}{70000 + r}

What is the answer to -1/(-b+3)= b/2 ?
The answer to -1/(-b+3)= b/2 is b=-(-3+sqrt(17))/2 ,b=(3+sqrt(17))/2
Solve for b: -1/(-b+3)= b/2
The solution is b=-(-3+sqrt(17))/2 ,b=(3+sqrt(17))/2