(3p+11)/(7-2p)+(11p-17)/(2p-7)

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Solution for (3p+11)/(7-2p)+(11p-17)/(2p-7) equation:


D( p )

2*p-7 = 0

7-(2*p) = 0

2*p-7 = 0

2*p-7 = 0

2*p-7 = 0 // + 7

2*p = 7 // : 2

p = 7/2

7-(2*p) = 0

7-(2*p) = 0

7-2*p = 0

7-2*p = 0 // - 7

-2*p = -7 // : -2

p = -7/(-2)

p = 7/2

p in (-oo:7/2) U (7/2:+oo)

(3*p+11)/(7-(2*p))+(11*p-17)/(2*p-7) = 0

(3*p+11)/(7-2*p)+(11*p-17)/(2*p-7) = 0

((3*p+11)*(2*p-7))/((7-2*p)*(2*p-7))+((11*p-17)*(7-2*p))/((7-2*p)*(2*p-7)) = 0

(3*p+11)*(2*p-7)+(11*p-17)*(7-2*p) = 0

112*p-16*p^2-196 = 0

112*p-16*p^2-196 = 0

4*(28*p-4*p^2-49) = 0

28*p-4*p^2-49 = 0

DELTA = 28^2-(-49*(-4)*4)

DELTA = 0

p = -28/(-4*2)

p = 7/2 or p = 7/2

4*(p-7/2)^2 = 0

(4*(p-7/2)^2)/((7-2*p)*(2*p-7)) = 0

(4*(p-7/2)^2)/((7-2*p)*(2*p-7)) = 0 // * (7-2*p)*(2*p-7)

4*(p-7/2)^2 = 0

p-7/2 = 0 // + 7/2

p = 7/2

p in { 7/2}

p belongs to the empty set

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