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

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

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(x^2+x)/x =4

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

x = 3

Solution steps

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

Simplify

\frac{x ^{2} + x}{x} : x + 1

x + 1 = 4

Move

1

to the right side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3

- \frac{1}{x ^{2}} - \frac{1}{x} = 0

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

2 x - \frac{2}{x ^{2}} = 0

\frac{7}{3 x} - \frac{13}{4 x} = 1

q, 2 q + 380 = q + 380 + \frac{2500}{q}