4+1/2(S+5)=(S+9/4)2+5

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Solution for 4+1/2(S+5)=(S+9/4)2+5 equation: 


S in (-oo:+oo)

(1/2)*(S+5)+4 = (S+9/4)^2+5 // - (S+9/4)^2+5

(1/2)*(S+5)-(S+9/4)^2-5+4 = 0

1/2*(S+5)-1*(S+9/4)^2-5+4 = 0

1/2*(S+5)-1*(S+9/4)^2-5+4 = 0

4-S^2-4*S-5-41/16 = 0

4-S^2-4*S-121/16 = 0

-S^2-4*S-57/16 = 0

-S^2-4*S-57/16 = 0

-1*(S^2+4*S+57/16) = 0

S^2+4*S+57/16 = 0

DELTA = 4^2-(1*57/16*4)

DELTA = 7/4

DELTA > 0

S = ((7/4)^(1/2)-4)/(1*2) or S = (-(7/4)^(1/2)-4)/(1*2)

S = ((7/4)^(1/2)-4)/2 or S = (-((7/4)^(1/2)+4))/2

-1*(S+((7/4)^(1/2)+4)/2)*(S-(((7/4)^(1/2)-4)/2)) = 0

-1*(S+((7/4)^(1/2)+4)/2)*(S-(((7/4)^(1/2)-4)/2)) = 0

( S+((7/4)^(1/2)+4)/2 )

S+((7/4)^(1/2)+4)/2 = 0 // - ((7/4)^(1/2)+4)/2

S = -(((7/4)^(1/2)+4)/2)

( S-(((7/4)^(1/2)-4)/2) )

S-(((7/4)^(1/2)-4)/2) = 0 // + ((7/4)^(1/2)-4)/2

S = ((7/4)^(1/2)-4)/2

S in { -(((7/4)^(1/2)+4)/2), ((7/4)^(1/2)-4)/2 }

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