What is solvefor x,x-(45)/x <-4 ?

The solution to solvefor x,x-(45)/x <-4 is x<-9\lor 0<x<5

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Solve for x x-45/x<-4

solve for

x, x - \frac{45}{x} < - 4

x < - 9 or 0 < x < 5

Solution steps

x - \frac{45}{x} < - 4

Rewrite in standard form

\frac{x ^{2} - 45 + 4 x}{x} < 0

Factor

\frac{x ^{2} - 45 + 4 x}{x} : \frac{( x - 5 ) ( x + 9 )}{x}

\frac{( x - 5 ) ( x + 9 )}{x} < 0

Identify the intervals

x < - 9 or 0 < x < 5

Number Line

x < - 9 or 0 < x < 5

x^{2} - 2 x - 5 = 0

x, \frac{2}{x} = \frac{2}{5}

\frac{13}{5}

(- 10 x)^{2}

x, x + 7 = x - 5

What is solvefor x,x-(45)/x <-4 ?
The solution to solvefor x,x-(45)/x <-4 is x<-9\lor 0<x<5