(2x)/((0.80-x)^2)=53.3

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Solution for (2x)/((0.80-x)^2)=53.3 equation: 


D( x )

(0.8-x)^2 = 0

(0.8-x)^2 = 0

(0.8-x)^2 = 0

0.8-x = 0 // - 0.8

-x = -0.8 // * -1

x = 0.8

x in (-oo:0.8) U (0.8:+oo)

(2*x)/((0.8-x)^2) = 53.3 // - 53.3

(2*x)/((0.8-x)^2)-53.3 = 0

(2*x)/((0.8-x)^2)+(-53.3*(0.8-x)^2)/((0.8-x)^2) = 0

2*x-53.3*(0.8-x)^2 = 0

87.28*x-53.3*x^2-34.112 = 0

87.28*x-53.3*x^2-34.112 = 0

87.28*x-53.3*x^2-34.112 = 0

DELTA = 87.28^2-(-53.3*(-34.112)*4)

DELTA = 87.28^2-7272.6784

DELTA = 345.12

DELTA > 0

x = ((87.28^2-7272.6784)^(1/2)-87.28)/(-53.3*2) or x = (-(87.28^2-7272.6784)^(1/2)-87.28)/(-53.3*2)

x = -0.00938086*((87.28^2-7272.6784)^(1/2)-87.28) or x = 0.00938086*((87.28^2-7272.6784)^(1/2)+87.28)

(x+0.00938086*((87.28^2-7272.6784)^(1/2)-87.28))*(x-0.00938086*((87.28^2-7272.6784)^(1/2)+87.28)) = 0

((x+0.00938086*((87.28^2-7272.6784)^(1/2)-87.28))*(x-0.00938086*((87.28^2-7272.6784)^(1/2)+87.28)))/((0.8-x)^2) = 0

((x+0.00938086*((87.28^2-7272.6784)^(1/2)-87.28))*(x-0.00938086*((87.28^2-7272.6784)^(1/2)+87.28)))/((0.8-x)^2) = 0 // * (0.8-x)^2

(x+0.00938086*((87.28^2-7272.6784)^(1/2)-87.28))*(x-0.00938086*((87.28^2-7272.6784)^(1/2)+87.28)) = 0

( x+0.00938086*((87.28^2-7272.6784)^(1/2)-87.28) )

x+0.00938086*((87.28^2-7272.6784)^(1/2)-87.28) = 0 // - 0.00938086*((87.28^2-7272.6784)^(1/2)-87.28)

x = -(0.00938086*((87.28^2-7272.6784)^(1/2)-87.28))

x = -0.00938086*((87.28^2-7272.6784)^(1/2)-87.28)

( x-0.00938086*((87.28^2-7272.6784)^(1/2)+87.28) )

x-0.00938086*((87.28^2-7272.6784)^(1/2)+87.28) = 0 // + -0.00938086*((87.28^2-7272.6784)^(1/2)+87.28)

x = -(-0.00938086*((87.28^2-7272.6784)^(1/2)+87.28))

x = 0.00938086*((87.28^2-7272.6784)^(1/2)+87.28)

x in { -0.00938086*((87.28^2-7272.6784)^(1/2)-87.28), 0.00938086*((87.28^2-7272.6784)^(1/2)+87.28) }

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