What is the answer to 6= 1/(2sqrt(81a+162)) ?

The answer to 6= 1/(2sqrt(81a+162)) is a=-23327/11664

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6= 1/(2sqrt(81a+162))

6 = \frac{1}{2 81 a + 162}

a = - \frac{23327}{11664}

Decimal Notation

a = - 1.99991 \dots

Solution steps

6 = \frac{1}{2 81 a + 162}

Multiply both sides by

2 81 a + 162

6 \cdot 2 81 a + 162 = \frac{1}{2 81 a + 162} \cdot 2 81 a + 162

Simplify

12 81 a + 162 = 1

Divide both sides by

12

81 a + 162 = \frac{1}{12}

Square both sides:

81 a + 162 = \frac{1}{144}

81 a + 162 = \frac{1}{144}

Solve

81 a + 162 = \frac{1}{144} : a = - \frac{23327}{11664}

a = - \frac{23327}{11664}

Verify Solutions:

a = - \frac{23327}{11664}

True

The solution is

a = - \frac{23327}{11664}

v = 10 v

a \frac{( 1 + x )}{( x - 1 )} = b

3 x - 7 = 2 x + 3

x + 1 - 2 x + 4 = 0

(5 x + 4)^{\frac{1}{2}} = 2

What is the answer to 6= 1/(2sqrt(81a+162)) ?
The answer to 6= 1/(2sqrt(81a+162)) is a=-23327/11664
Solve for a: 6= 1/(2sqrt(81a+162))
The solution is a=-23327/11664