What is the answer to 2(3190)/a =242-a ?

The answer to 2(3190)/a =242-a is a=121-sqrt(8261),a=121+sqrt(8261)

Solve for a: 2(3190)/a =242-a

The solution is a=121-sqrt(8261),a=121+sqrt(8261)

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2 \frac{3190}{a} = 242 - a

a = 121 - 8261, a = 121 + 8261

Decimal Notation

a = 30.10995 \dots, a = 211.89004 \dots

Solution steps

2 \cdot \frac{3190}{a} = 242 - a

Simplify

2 \cdot \frac{3190}{a} : \frac{6380}{a}

\frac{6380}{a} = 242 - a

Multiply both sides by

a

6380 = 242 a - a^{2}

Solve

6380 = 242 a - a^{2} : a = 121 - 8261, a = 121 + 8261

a = 121 - 8261, a = 121 + 8261

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 121 - 8261, a = 121 + 8261

\frac{x}{5} = \frac{7}{x}

r, θ = \frac{s}{r}

(y - 2)^{2} = \frac{25}{81 y}

\frac{- 2}{x - 1} = \frac{x - 8}{x + 1}

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

What is the answer to 2(3190)/a =242-a ?
The answer to 2(3190)/a =242-a is a=121-sqrt(8261),a=121+sqrt(8261)
Solve for a: 2(3190)/a =242-a
The solution is a=121-sqrt(8261),a=121+sqrt(8261)