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

The answer to -2+4/(x^2)=x-3 is x=2,x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2

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

The solution is x=2,x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2

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

x = 2, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

Solution steps

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

Move

2

to the right side

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

Multiply both sides by

x^{2}

4 = x^{3} - x^{2}

Solve

4 = x^{3} - x^{2} : x = 2, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

x = 2, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

\frac{5}{6} = \frac{x - 10}{3 x + 6}

\frac{x ^{2}}{x + 80} = 40

y, x = y + \frac{1}{y}

\frac{30}{x} = 0

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

What is the answer to -2+4/(x^2)=x-3 ?
The answer to -2+4/(x^2)=x-3 is x=2,x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2
Solve for x: -2+4/(x^2)=x-3
The solution is x=2,x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2