(x^2+2x-49)/x+7

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Solution for (x^2+2x-49)/x+7 equation:


D( x )

x = 0

x = 0

x = 0

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

(x^2+2*x-49)/x+7 = 0

(x^2+2*x-49)/x+(7*x)/x = 0

x^2+2*x+7*x-49 = 0

x^2+9*x-49 = 0

x^2+9*x-49 = 0

x^2+9*x-49 = 0

DELTA = 9^2-(-49*1*4)

DELTA = 277

DELTA > 0

x = (277^(1/2)-9)/(1*2) or x = (-277^(1/2)-9)/(1*2)

x = (277^(1/2)-9)/2 or x = (-(277^(1/2)+9))/2

(x+(277^(1/2)+9)/2)*(x-((277^(1/2)-9)/2)) = 0

((x+(277^(1/2)+9)/2)*(x-((277^(1/2)-9)/2)))/x = 0

((x+(277^(1/2)+9)/2)*(x-((277^(1/2)-9)/2)))/x = 0 // * x

(x+(277^(1/2)+9)/2)*(x-((277^(1/2)-9)/2)) = 0

( x+(277^(1/2)+9)/2 )

x+(277^(1/2)+9)/2 = 0 // - (277^(1/2)+9)/2

x = -((277^(1/2)+9)/2)

( x-((277^(1/2)-9)/2) )

x-((277^(1/2)-9)/2) = 0 // + (277^(1/2)-9)/2

x = (277^(1/2)-9)/2

x in { -((277^(1/2)+9)/2), (277^(1/2)-9)/2 }

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