What is the answer to (9x)/((x-9)(x-4))=3x+8 ?

The answer to (9x)/((x-9)(x-4))=3x+8 is x\approx 3.67365…,x\approx-2.77096…,x\approx 9.43064…

Solve for x: (9x)/((x-9)(x-4))=3x+8

The solution is x\approx 3.67365…,x\approx-2.77096…,x\approx 9.43064…

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\frac{9 x}{( x - 9 ) ( x - 4 )} = 3 x + 8

x \approx 3.67365 \dots, x \approx - 2.77096 \dots, x \approx 9.43064 \dots

Solution steps

\frac{9 x}{( x - 9 ) ( x - 4 )} = 3 x + 8

Multiply both sides by

(x - 9) (x - 4)

9 x = 3 x (x - 9) (x - 4) + 8 (x - 9) (x - 4)

Solve

9 x = 3 x (x - 9) (x - 4) + 8 (x - 9) (x - 4) : x \approx 3.67365 \dots, x \approx - 2.77096 \dots, x \approx 9.43064 \dots

x \approx 3.67365 \dots, x \approx - 2.77096 \dots, x \approx 9.43064 \dots

Verify Solutions

Find undefined (singularity) points:

x = 9, x = 4

Combine undefined points with solutions:

x \approx 3.67365 \dots, x \approx - 2.77096 \dots, x \approx 9.43064 \dots

\frac{1}{5 x ^{3}} = \frac{8}{5}

2 = \frac{2}{x}

\frac{16 - x ^{2}}{2 x - 8} = 0

\frac{3 y + 9}{4 y - 5} = 6

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

What is the answer to (9x)/((x-9)(x-4))=3x+8 ?
The answer to (9x)/((x-9)(x-4))=3x+8 is x\approx 3.67365…,x\approx-2.77096…,x\approx 9.43064…
Solve for x: (9x)/((x-9)(x-4))=3x+8
The solution is x\approx 3.67365…,x\approx-2.77096…,x\approx 9.43064…