What is the answer to x^2+5/(x^2)=6 ?

The answer to x^2+5/(x^2)=6 is x=sqrt(5),x=-sqrt(5),x=1,x=-1

Solve for x: x^2+5/(x^2)=6

The solution is x=sqrt(5),x=-sqrt(5),x=1,x=-1

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x^{2} + \frac{5}{x ^{2}} = 6

x = 5, x = - 5, x = 1, x = - 1

Decimal Notation

x = 2.23606 \dots, x = - 2.23606 \dots, x = 1, x = - 1

Solution steps

x^{2} + \frac{5}{x ^{2}} = 6

Multiply both sides by

x^{2}

x^{4} + 5 = 6 x^{2}

Solve

x^{4} + 5 = 6 x^{2} : x = 5, x = - 5, x = 1, x = - 1

x = 5, x = - 5, x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - 5, x = 1, x = - 1

\frac{9}{10} = \frac{7}{x}

\frac{9}{z + 25} + \frac{16}{z} = 1

\frac{- 8}{x} = \frac{- 3}{4 x - 10}

\frac{1}{x} = a + b

b, x = \frac{( 7 a - b )}{y b}

What is the answer to x^2+5/(x^2)=6 ?
The answer to x^2+5/(x^2)=6 is x=sqrt(5),x=-sqrt(5),x=1,x=-1
Solve for x: x^2+5/(x^2)=6
The solution is x=sqrt(5),x=-sqrt(5),x=1,x=-1