What is the answer to 1=(x^2)/(3x+4) ?

The answer to 1=(x^2)/(3x+4) is x=4,x=-1

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1=(x^2)/(3x+4)

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

x = 4, x = - 1

Solution steps

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

Multiply both sides by

3 x + 4

3 x + 4 = x^{2}

Solve

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

x = 4, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}

Combine undefined points with solutions:

x = 4, x = - 1

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

x, E = \frac{a - r x}{x - r}

\frac{x}{x - 3} + 9 = \frac{3}{x - 3}

\frac{1}{x ^{3}} = 5

0.6 = \frac{1}{x}