What is the answer to 9/(4x^2)+4/(x^2)=1 ?

The answer to 9/(4x^2)+4/(x^2)=1 is x= 5/2 ,x=-5/2

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9/(4x^2)+4/(x^2)=1

\frac{9}{4 x ^{2}} + \frac{4}{x ^{2}} = 1

x = \frac{5}{2}, x = - \frac{5}{2}

Decimal Notation

x = 2.5, x = - 2.5

Solution steps

\frac{9}{4 x ^{2}} + \frac{4}{x ^{2}} = 1

Multiply by LCM

25 = 4 x^{2}

Solve

25 = 4 x^{2} : x = \frac{5}{2}, x = - \frac{5}{2}

x = \frac{5}{2}, x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{2}, x = - \frac{5}{2}

\frac{1}{x} + \frac{1}{x + 6} = \frac{1}{4}

x - \frac{3 x}{x - 4} = 2

1 + \frac{2}{x + 1} = \frac{3 x + 7}{x ^{2} + 10 x + 9}

1 - \frac{1}{x ^{2} + x} = - \frac{x}{x + 1}

\frac{6 x - 1}{3 x + 2} = \frac{2 x}{x - 1}

What is the answer to 9/(4x^2)+4/(x^2)=1 ?
The answer to 9/(4x^2)+4/(x^2)=1 is x= 5/2 ,x=-5/2
Solve for x: 9/(4x^2)+4/(x^2)=1
The solution is x= 5/2 ,x=-5/2