(2-3x-x^2)/(-2x)=50

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Solution for (2-3x-x^2)/(-2x)=50 equation: 


D( x )

-2*x = 0

-2*x = 0

-2*x = 0

-2*x = 0 // : -2

x = 0

x in (-oo:0) U (0:+oo)

(2-x^2-(3*x))/(-2*x) = 50 // - 50

(2-x^2-(3*x))/(-2*x)-50 = 0

(2-x^2-3*x)/(-2*x)-50 = 0

(2-x^2-3*x)/(-2*x)+(-50*(-2)*x)/(-2*x) = 0

2-x^2-3*x-50*(-2)*x = 0

97*x-x^2+2 = 0

97*x-x^2+2 = 0

97*x-x^2+2 = 0

DELTA = 97^2-(-1*2*4)

DELTA = 9417

DELTA > 0

x = (9417^(1/2)-97)/(-1*2) or x = (-9417^(1/2)-97)/(-1*2)

x = (9417^(1/2)-97)/(-2) or x = (9417^(1/2)+97)/2

(x-((9417^(1/2)-97)/(-2)))*(x-((9417^(1/2)+97)/2)) = 0

((x-((9417^(1/2)-97)/(-2)))*(x-((9417^(1/2)+97)/2)))/(-2*x) = 0

((x-((9417^(1/2)-97)/(-2)))*(x-((9417^(1/2)+97)/2)))/(-2*x) = 0 // * -2*x

(x-((9417^(1/2)-97)/(-2)))*(x-((9417^(1/2)+97)/2)) = 0

( x-((9417^(1/2)+97)/2) )

x-((9417^(1/2)+97)/2) = 0 // + (9417^(1/2)+97)/2

x = (9417^(1/2)+97)/2

( x-((9417^(1/2)-97)/(-2)) )

x-((9417^(1/2)-97)/(-2)) = 0 // + (9417^(1/2)-97)/(-2)

x = (9417^(1/2)-97)/(-2)

x in { (9417^(1/2)+97)/2, (9417^(1/2)-97)/(-2) }

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