What is the answer to 7/(x-9)=4x ?

The answer to 7/(x-9)=4x is x=(9+2sqrt(22))/2 ,x=(9-2sqrt(22))/2

Solve for x: 7/(x-9)=4x

The solution is x=(9+2sqrt(22))/2 ,x=(9-2sqrt(22))/2

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\frac{7}{x - 9} = 4 x

x = \frac{9 + 2 22}{2}, x = \frac{9 - 2 22}{2}

Decimal Notation

x = 9.19041 \dots, x = - 0.19041 \dots

Solution steps

\frac{7}{x - 9} = 4 x

Multiply both sides by

x - 9

7 = 4 x (x - 9)

Solve

7 = 4 x (x - 9) : x = \frac{9 + 2 22}{2}, x = \frac{9 - 2 22}{2}

x = \frac{9 + 2 22}{2}, x = \frac{9 - 2 22}{2}

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = \frac{9 + 2 22}{2}, x = \frac{9 - 2 22}{2}

\frac{200}{2 x} = 4 x - 20 + 20

- \frac{8}{x} = - 4

a^{- 2} + 3 a^{- 1} - 10 = 0

\frac{5}{4 - 3 z} = 2

\frac{v ^{3} + v - 12}{7 v} = 4

What is the answer to 7/(x-9)=4x ?
The answer to 7/(x-9)=4x is x=(9+2sqrt(22))/2 ,x=(9-2sqrt(22))/2
Solve for x: 7/(x-9)=4x
The solution is x=(9+2sqrt(22))/2 ,x=(9-2sqrt(22))/2