2x/(3-x)^2=115

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Solution for 2x/(3-x)^2=115 equation:


D( x )

(3-x)^2 = 0

(3-x)^2 = 0

(3-x)^2 = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x in (-oo:3) U (3:+oo)

(2*x)/((3-x)^2) = 115 // - 115

(2*x)/((3-x)^2)-115 = 0

(2*x)/((3-x)^2)+(-115*(3-x)^2)/((3-x)^2) = 0

2*x-115*(3-x)^2 = 0

692*x-115*x^2-1035 = 0

692*x-115*x^2-1035 = 0

692*x-115*x^2-1035 = 0

DELTA = 692^2-(-1035*(-115)*4)

DELTA = 2764

DELTA > 0

x = (2764^(1/2)-692)/(-115*2) or x = (-2764^(1/2)-692)/(-115*2)

x = (2*691^(1/2)-692)/(-230) or x = (-2*691^(1/2)-692)/(-230)

(x-((2*691^(1/2)-692)/(-230)))*(x-((-2*691^(1/2)-692)/(-230))) = 0

((x-((2*691^(1/2)-692)/(-230)))*(x-((-2*691^(1/2)-692)/(-230))))/((3-x)^2) = 0

((x-((2*691^(1/2)-692)/(-230)))*(x-((-2*691^(1/2)-692)/(-230))))/((3-x)^2) = 0 // * (3-x)^2

(x-((2*691^(1/2)-692)/(-230)))*(x-((-2*691^(1/2)-692)/(-230))) = 0

( x-((-2*691^(1/2)-692)/(-230)) )

x-((-2*691^(1/2)-692)/(-230)) = 0 // + (-2*691^(1/2)-692)/(-230)

x = (-2*691^(1/2)-692)/(-230)

( x-((2*691^(1/2)-692)/(-230)) )

x-((2*691^(1/2)-692)/(-230)) = 0 // + (2*691^(1/2)-692)/(-230)

x = (2*691^(1/2)-692)/(-230)

x in { (-2*691^(1/2)-692)/(-230), (2*691^(1/2)-692)/(-230) }

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