What is the answer to a= 1/2 (a+2/a) ?

The answer to a= 1/2 (a+2/a) is a=sqrt(2),a=-sqrt(2)

Solve for a: a= 1/2 (a+2/a)

The solution is a=sqrt(2),a=-sqrt(2)

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Popular >

a = \frac{1}{2} (a + \frac{2}{a})

a = 2, a = - 2

Decimal Notation

a = 1.41421 \dots, a = - 1.41421 \dots

Solution steps

a = \frac{1}{2} (a + \frac{2}{a})

Multiply by LCM

2 a^{2} = a^{2} + 2

Solve

2 a^{2} = a^{2} + 2 : a = 2, a = - 2

a = 2, a = - 2

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 2, a = - 2

\frac{5}{630} = \frac{70}{x}

\frac{2}{b} - 9 = 11

v, p = \frac{f v}{v - s}

\frac{h - 1}{3} = \frac{1}{h + 1}

\frac{1}{x} + \frac{3}{x} = 12

What is the answer to a= 1/2 (a+2/a) ?
The answer to a= 1/2 (a+2/a) is a=sqrt(2),a=-sqrt(2)
Solve for a: a= 1/2 (a+2/a)
The solution is a=sqrt(2),a=-sqrt(2)