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

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

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

The solution is x=-2+sqrt(15),x=-2-sqrt(15)

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

x = - 2 + 15, x = - 2 - 15

Decimal Notation

x = 1.87298 \dots, x = - 5.87298 \dots

Solution steps

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

Multiply both sides by

x - 3

x^{2} + x - 2 = - 3 (x - 3)

Solve

x^{2} + x - 2 = - 3 (x - 3) : x = - 2 + 15, x = - 2 - 15

x = - 2 + 15, x = - 2 - 15

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 2 + 15, x = - 2 - 15

- \frac{2 x}{x + 2} + 5 x = \frac{4}{x + 2}

\frac{x ^{13} + x + 90}{x ^{2} - x + a}

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

\frac{50}{t - 2} - \frac{16}{t} = \frac{30}{t}

\frac{6}{x - 6} - 1 = \frac{x}{x - 6}

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