What is the answer to x^2-9=(x+3)/((x-2)) ?

The answer to x^2-9=(x+3)/((x-2)) is x=-3,x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2

Solve for x: x^2-9=(x+3)/((x-2))

The solution is x=-3,x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2

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x^{2} - 9 = \frac{x + 3}{( x - 2 )}

x = - 3, x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

Decimal Notation

x = - 3, x = 3.61803 \dots, x = 1.38196 \dots

Solution steps

x^{2} - 9 = \frac{x + 3}{( x - 2 )}

Simplify

\frac{x + 3}{( x - 2 )} : \frac{x + 3}{x - 2}

x^{2} - 9 = \frac{x + 3}{x - 2}

Multiply both sides by

x - 2

x^{2} (x - 2) - 9 (x - 2) = x + 3

Solve

x^{2} (x - 2) - 9 (x - 2) = x + 3 : x = - 3, x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

x = - 3, x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 3, x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

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

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

\frac{21}{4 + y} = \frac{53}{4}

\frac{x - 5}{x + 6} = 0

\frac{2}{3 h} - \frac{1}{2 h} = - 1

What is the answer to x^2-9=(x+3)/((x-2)) ?
The answer to x^2-9=(x+3)/((x-2)) is x=-3,x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2
Solve for x: x^2-9=(x+3)/((x-2))
The solution is x=-3,x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2