What is the answer to ((90)/x+2)(x-5)=90 ?

The answer to ((90)/x+2)(x-5)=90 is x=(5(1+sqrt(37)))/2 ,x=(5(1-sqrt(37)))/2

Solve for x: ((90)/x+2)(x-5)=90

The solution is x=(5(1+sqrt(37)))/2 ,x=(5(1-sqrt(37)))/2

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(\frac{90}{x} + 2) (x - 5) = 90

x = \frac{5 ( 1 + 37 )}{2}, x = \frac{5 ( 1 - 37 )}{2}

Solution steps

(\frac{90}{x} + 2) (x - 5) = 90

Simplify

(\frac{90}{x} + 2) (x - 5) : 2 x - \frac{450}{x} + 80

2 x - \frac{450}{x} + 80 = 90

Multiply both sides by

x

2 x^{2} - 450 + 80 x = 90 x

Solve

2 x^{2} - 450 + 80 x = 90 x : x = \frac{5 ( 1 + 37 )}{2}, x = \frac{5 ( 1 - 37 )}{2}

x = \frac{5 ( 1 + 37 )}{2}, x = \frac{5 ( 1 - 37 )}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 ( 1 + 37 )}{2}, x = \frac{5 ( 1 - 37 )}{2}

6 - \frac{5}{z} = \frac{25}{z}

\frac{7}{x - 9} = \frac{3}{4 - x}

\frac{x ^{2} - 9}{7 x + 10} = 0

\frac{9}{x} = \frac{27}{6}

t, y = (1 + a t) (Ct)^{- 2}

What is the answer to ((90)/x+2)(x-5)=90 ?
The answer to ((90)/x+2)(x-5)=90 is x=(5(1+sqrt(37)))/2 ,x=(5(1-sqrt(37)))/2
Solve for x: ((90)/x+2)(x-5)=90
The solution is x=(5(1+sqrt(37)))/2 ,x=(5(1-sqrt(37)))/2