What is the answer to x^2-(15)/x =4 ?

The answer to x^2-(15)/x =4 is x=3,x=-3/2+i(sqrt(11))/2 ,x=-3/2-i(sqrt(11))/2

Solve for x: x^2-(15)/x =4

The solution is x=3,x=-3/2+i(sqrt(11))/2 ,x=-3/2-i(sqrt(11))/2

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x^{2} - \frac{15}{x} = 4

x = 3, x = - \frac{3}{2} + i \frac{11}{2}, x = - \frac{3}{2} - i \frac{11}{2}

Solution steps

x^{2} - \frac{15}{x} = 4

Multiply both sides by

x

x^{3} - 15 = 4 x

Solve

x^{3} - 15 = 4 x : x = 3, x = - \frac{3}{2} + i \frac{11}{2}, x = - \frac{3}{2} - i \frac{11}{2}

x = 3, x = - \frac{3}{2} + i \frac{11}{2}, x = - \frac{3}{2} - i \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - \frac{3}{2} + i \frac{11}{2}, x = - \frac{3}{2} - i \frac{11}{2}

\frac{4}{x} = \frac{3}{400}

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

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

\frac{1}{x ^{2}} = 8

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

What is the answer to x^2-(15)/x =4 ?
The answer to x^2-(15)/x =4 is x=3,x=-3/2+i(sqrt(11))/2 ,x=-3/2-i(sqrt(11))/2
Solve for x: x^2-(15)/x =4
The solution is x=3,x=-3/2+i(sqrt(11))/2 ,x=-3/2-i(sqrt(11))/2