What is the answer to (41)/(3b+b)=6b-10.4 ?

The answer to (41)/(3b+b)=6b-10.4 is b=(52+sqrt(8854))/(60),b=(52-sqrt(8854))/(60)

Solve for b: (41)/(3b+b)=6b-10.4

The solution is b=(52+sqrt(8854))/(60),b=(52-sqrt(8854))/(60)

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\frac{41}{3 b + b} = 6 b - 10.4

b = \frac{52 + 8854}{60}, b = \frac{52 - 8854}{60}

Decimal Notation

b = 2.43492 \dots, b = - 0.70159 \dots

Solution steps

\frac{41}{3 b + b} = 6 b - 10.4

Simplify

\frac{41}{3 b + b} : \frac{41}{4 b}

\frac{41}{4 b} = 6 b - 10.4

Multiply both sides by

b

\frac{41}{4} = 6 b^{2} - 10.4 b

Solve

\frac{41}{4} = 6 b^{2} - 10.4 b : b = \frac{52 + 8854}{60}, b = \frac{52 - 8854}{60}

b = \frac{52 + 8854}{60}, b = \frac{52 - 8854}{60}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{52 + 8854}{60}, b = \frac{52 - 8854}{60}

\frac{3}{x + 4} = \frac{2}{x - 4}

\frac{3}{x} = \frac{3}{4 x} + 3

\frac{8}{m - 9} = \frac{6}{m - 8}

\frac{10}{9} = \frac{3}{q}

\frac{3}{x + 1} = \frac{7}{x + 5}

What is the answer to (41)/(3b+b)=6b-10.4 ?
The answer to (41)/(3b+b)=6b-10.4 is b=(52+sqrt(8854))/(60),b=(52-sqrt(8854))/(60)
Solve for b: (41)/(3b+b)=6b-10.4
The solution is b=(52+sqrt(8854))/(60),b=(52-sqrt(8854))/(60)