What is the answer to (500)/(b^2)=197.7+b10.4 ?

The answer to (500)/(b^2)=197.7+b10.4 is b\approx 1.52993…,b\approx-1.66488…,b\approx-18.87466…

Solve for b: (500)/(b^2)=197.7+b10.4

The solution is b\approx 1.52993…,b\approx-1.66488…,b\approx-18.87466…

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\frac{500}{b ^{2}} = 197.7 + b 10.4

b \approx 1.52993 \dots, b \approx - 1.66488 \dots, b \approx - 18.87466 \dots

Solution steps

\frac{500}{b ^{2}} = 197.7 + b \cdot 10.4

Multiply both sides by

10

\frac{5000}{b ^{2}} = 1977 + 104 b

Multiply both sides by

b^{2}

5000 = 1977 b^{2} + 104 b^{3}

Solve

5000 = 1977 b^{2} + 104 b^{3} : b \approx 1.52993 \dots, b \approx - 1.66488 \dots, b \approx - 18.87466 \dots

b \approx 1.52993 \dots, b \approx - 1.66488 \dots, b \approx - 18.87466 \dots

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b \approx 1.52993 \dots, b \approx - 1.66488 \dots, b \approx - 18.87466 \dots

\frac{1}{x + 8} + \frac{16}{x ^{2} - 64} = 1

\frac{3}{x} = \frac{x + 1}{2}

- \frac{5}{2 x} - 1 = \frac{1}{6 x}

\frac{3}{5 x - 5} = \frac{- 4}{3 x + 4}

4 x - \frac{256}{x ^{2}} = 0

What is the answer to (500)/(b^2)=197.7+b10.4 ?
The answer to (500)/(b^2)=197.7+b10.4 is b\approx 1.52993…,b\approx-1.66488…,b\approx-18.87466…
Solve for b: (500)/(b^2)=197.7+b10.4
The solution is b\approx 1.52993…,b\approx-1.66488…,b\approx-18.87466…