What is the answer to ((x-5))/((x+3)-1)=((5x-2))/((9-x^2)) ?

The answer to ((x-5))/((x+3)-1)=((5x-2))/((9-x^2)) is x\approx-3.54486…

Solve for x: ((x-5))/((x+3)-1)=((5x-2))/((9-x^2))

The solution is x\approx-3.54486…

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\frac{( x - 5 )}{( x + 3 ) - 1} = \frac{( 5 x - 2 )}{( 9 - x ^{2} )}

x \approx - 3.54486 \dots

Solution steps

\frac{( x - 5 )}{( x + 3 ) - 1} = \frac{( 5 x - 2 )}{( 9 - x ^{2} )}

Cross multiply

(x - 5) (9 - x^{2}) = (x + 2) (5 x - 2)

Solve

(x - 5) (9 - x^{2}) = (x + 2) (5 x - 2) : x \approx - 3.54486 \dots

x \approx - 3.54486 \dots

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 3, x = 3

Combine undefined points with solutions:

x \approx - 3.54486 \dots

x, \frac{3}{x} + \frac{3}{y} = 6

l \cdot n = \frac{12 \cdot 14}{h \cdot 0}

(\frac{x + 1 + 1}{x})^{2} = (\frac{x - 1 - 1}{x})^{2}

\frac{9}{2} = \frac{30}{( 15 - x )} + \frac{30}{( 15 + x )}

\frac{a}{( x - 1 )} + \frac{b}{( x + 2 )} = \frac{( 5 x + 1 )}{( ( x - 1 ) ( x + 2 ) )}

What is the answer to ((x-5))/((x+3)-1)=((5x-2))/((9-x^2)) ?
The answer to ((x-5))/((x+3)-1)=((5x-2))/((9-x^2)) is x\approx-3.54486…
Solve for x: ((x-5))/((x+3)-1)=((5x-2))/((9-x^2))
The solution is x\approx-3.54486…