((5p-4)/(p^2-3p-70))-((3)/(p-10))

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Solution for ((5p-4)/(p^2-3p-70))-((3)/(p-10)) equation: 


D( p )

p^2-(3*p)-70 = 0

p-10 = 0

p^2-(3*p)-70 = 0

p^2-(3*p)-70 = 0

p^2-3*p-70 = 0

p^2-3*p-70 = 0

DELTA = (-3)^2-(-70*1*4)

DELTA = 289

DELTA > 0

p = (289^(1/2)+3)/(1*2) or p = (3-289^(1/2))/(1*2)

p = 10 or p = -7

p-10 = 0

p-10 = 0

p-10 = 0 // + 10

p = 10

p in (-oo:-7) U (-7:10) U (10:+oo)

(5*p-4)/(p^2-(3*p)-70)-(3/(p-10)) = 0

(5*p-4)/(p^2-3*p-70)-3*(p-10)^-1 = 0

(5*p-4)/(p^2-3*p-70)-3/(p-10) = 0

p^2-3*p-70 = 0

p^2-3*p-70 = 0

p^2-3*p-70 = 0

DELTA = (-3)^2-(-70*1*4)

DELTA = 289

DELTA > 0

p = (289^(1/2)+3)/(1*2) or p = (3-289^(1/2))/(1*2)

p = 10 or p = -7

(p+7)*(p-10) = 0

(5*p-4)/((p+7)*(p-10))-3/(p-10) = 0

(5*p-4)/((p+7)*(p-10))+(-3*(p+7))/((p+7)*(p-10)) = 0

5*p-3*(p+7)-4 = 0

2*p-25 = 0

(2*p-25)/((p+7)*(p-10)) = 0

(2*p-25)/((p+7)*(p-10)) = 0 // * (p+7)*(p-10)

2*p-25 = 0

2*p-25 = 0 // + 25

2*p = 25 // : 2

p = 25/2

p = 25/2

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