What is the answer to 6-(35)/x+(36)/(x^2)=0 ?

The answer to 6-(35)/x+(36)/(x^2)=0 is x= 9/2 ,x= 4/3

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6-(35)/x+(36)/(x^2)=0

6 - \frac{35}{x} + \frac{36}{x ^{2}} = 0

x = \frac{9}{2}, x = \frac{4}{3}

Decimal Notation

x = 4.5, x = 1.33333 \dots

Solution steps

6 - \frac{35}{x} + \frac{36}{x ^{2}} = 0

Multiply by LCM

6 x^{2} - 35 x + 36 = 0

Solve

6 x^{2} - 35 x + 36 = 0 : x = \frac{9}{2}, x = \frac{4}{3}

x = \frac{9}{2}, x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{2}, x = \frac{4}{3}

\frac{1}{x - 2} + \frac{3}{x + 3} = 6

63 = \frac{3 \times ( x ^{3} - 1 )}{x - 1}

8 + \frac{6}{x} = x + 9

8 = \frac{16}{x}

\frac{3 x - 1}{x} = \frac{5}{2}

What is the answer to 6-(35)/x+(36)/(x^2)=0 ?
The answer to 6-(35)/x+(36)/(x^2)=0 is x= 9/2 ,x= 4/3
Solve for x: 6-(35)/x+(36)/(x^2)=0
The solution is x= 9/2 ,x= 4/3