What is the answer to x^2-9= 9/(x^2-9) ?

The answer to x^2-9= 9/(x^2-9) is x=2sqrt(3),x=-2sqrt(3),x=sqrt(6),x=-sqrt(6)

Solve for x: x^2-9= 9/(x^2-9)

The solution is x=2sqrt(3),x=-2sqrt(3),x=sqrt(6),x=-sqrt(6)

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x^{2} - 9 = \frac{9}{x ^{2} - 9}

x = 23, x = - 23, x = 6, x = - 6

Decimal Notation

x = 3.46410 \dots, x = - 3.46410 \dots, x = 2.44948 \dots, x = - 2.44948 \dots

Solution steps

x^{2} - 9 = \frac{9}{x ^{2} - 9}

Multiply both sides by

x^{2} - 9

x^{2} (x^{2} - 9) - 9 (x^{2} - 9) = 9

Solve

x^{2} (x^{2} - 9) - 9 (x^{2} - 9) = 9 : x = 23, x = - 23, x = 6, x = - 6

x = 23, x = - 23, x = 6, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 3

Combine undefined points with solutions:

x = 23, x = - 23, x = 6, x = - 6

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

\frac{3 x ^{2} + 2 x}{5 x ^{2} - 3} = 0

\frac{3}{3 x - 2} = \frac{14}{9 x - 6}

\frac{x - 3}{x} = \frac{x + 7}{x + 4}

\frac{4}{x - 4} = 7 + \frac{x}{x - 4}

What is the answer to x^2-9= 9/(x^2-9) ?
The answer to x^2-9= 9/(x^2-9) is x=2sqrt(3),x=-2sqrt(3),x=sqrt(6),x=-sqrt(6)
Solve for x: x^2-9= 9/(x^2-9)
The solution is x=2sqrt(3),x=-2sqrt(3),x=sqrt(6),x=-sqrt(6)