What is the answer to 2a-5= 4/a ?

The answer to 2a-5= 4/a is a=(5+sqrt(57))/4 ,a=(5-sqrt(57))/4

Solve for a: 2a-5= 4/a

The solution is a=(5+sqrt(57))/4 ,a=(5-sqrt(57))/4

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2 a - 5 = \frac{4}{a}

a = \frac{5 + 57}{4}, a = \frac{5 - 57}{4}

Decimal Notation

a = 3.13745 \dots, a = - 0.63745 \dots

Solution steps

2 a - 5 = \frac{4}{a}

Multiply both sides by

a

2 a^{2} - 5 a = 4

Solve

2 a^{2} - 5 a = 4 : a = \frac{5 + 57}{4}, a = \frac{5 - 57}{4}

a = \frac{5 + 57}{4}, a = \frac{5 - 57}{4}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{5 + 57}{4}, a = \frac{5 - 57}{4}

\frac{x}{2 x - 6} = \frac{x + 8}{15}

\frac{12}{x} = \frac{x}{3}

n, \frac{P V}{n} = RT

a, u = b + \frac{k}{a}

4 = x^{- 2}

What is the answer to 2a-5= 4/a ?
The answer to 2a-5= 4/a is a=(5+sqrt(57))/4 ,a=(5-sqrt(57))/4
Solve for a: 2a-5= 4/a
The solution is a=(5+sqrt(57))/4 ,a=(5-sqrt(57))/4