What is the answer to 3/(x^2)= 4/(x+4) ?

The answer to 3/(x^2)= 4/(x+4) is x=(3+sqrt(201))/8 ,x=(3-sqrt(201))/8

Solve for x: 3/(x^2)= 4/(x+4)

The solution is x=(3+sqrt(201))/8 ,x=(3-sqrt(201))/8

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\frac{3}{x ^{2}} = \frac{4}{x + 4}

x = \frac{3 + 201}{8}, x = \frac{3 - 201}{8}

Decimal Notation

x = 2.14718 \dots, x = - 1.39718 \dots

Solution steps

\frac{3}{x ^{2}} = \frac{4}{x + 4}

Cross multiply

3 (x + 4) = x^{2} \cdot 4

Solve

3 (x + 4) = x^{2} \cdot 4 : x = \frac{3 + 201}{8}, x = \frac{3 - 201}{8}

x = \frac{3 + 201}{8}, x = \frac{3 - 201}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

x = \frac{3 + 201}{8}, x = \frac{3 - 201}{8}

\frac{4}{7} = \frac{2}{x}

\frac{6}{3 n + 1} = \frac{4}{n + 1}

\frac{( 24 + 55 + 36 )}{x} = 116.88

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

\frac{15}{x} = \frac{5 b}{2 b}

What is the answer to 3/(x^2)= 4/(x+4) ?
The answer to 3/(x^2)= 4/(x+4) is x=(3+sqrt(201))/8 ,x=(3-sqrt(201))/8
Solve for x: 3/(x^2)= 4/(x+4)
The solution is x=(3+sqrt(201))/8 ,x=(3-sqrt(201))/8