(2x^2+7x-30)/(30-x-x^2)

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Solution for (2x^2+7x-30)/(30-x-x^2) equation: 


D( x )

30-x^2-x = 0

30-x^2-x = 0

30-x^2-x = 0

30-x^2-x = 0

DELTA = (-1)^2-(-1*4*30)

DELTA = 121

DELTA > 0

x = (121^(1/2)+1)/(-1*2) or x = (1-121^(1/2))/(-1*2)

x = -6 or x = 5

x in (-oo:-6) U (-6:5) U (5:+oo)

(2*x^2+7*x-30)/(30-x^2-x) = 0

2*x^2+7*x-30 = 0

2*x^2+7*x-30 = 0

DELTA = 7^2-(-30*2*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)-7)/(2*2) or x = (-289^(1/2)-7)/(2*2)

x = 5/2 or x = -6

(x+6)*(x-5/2) = 0

30-x^2-x = 0

30-x^2-x = 0

DELTA = (-1)^2-(-1*4*30)

DELTA = 121

DELTA > 0

x = (121^(1/2)+1)/(-1*2) or x = (1-121^(1/2))/(-1*2)

x = -6 or x = 5

(x+6)*(x-5) = 0

((x+6)*(x-5/2))/((x+6)*(x-5)) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-5/2 )

x-5/2 = 0 // + 5/2

x = 5/2

x in { -6} 

x = 5/2

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