4x^2/(0.3-x)^2=53.3

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Solution for 4x^2/(0.3-x)^2=53.3 equation: 


D( x )

(0.3-x)^2 = 0

(0.3-x)^2 = 0

(0.3-x)^2 = 0

0.3-x = 0 // - 0.3

-x = -0.3 // * -1

x = 0.3

x in (-oo:0.3) U (0.3:+oo)

(4*x^2)/((0.3-x)^2) = 53.3 // - 53.3

(4*x^2)/((0.3-x)^2)-53.3 = 0

(4*x^2)/((0.3-x)^2)+(-53.3*(0.3-x)^2)/((0.3-x)^2) = 0

4*x^2-53.3*(0.3-x)^2 = 0

31.98*x-49.3*x^2-4.797 = 0

31.98*x-49.3*x^2-4.797 = 0

31.98*x-49.3*x^2-4.797 = 0

DELTA = 31.98^2-(-49.3*(-4.797)*4)

DELTA = 31.98^2-945.9684

DELTA = 76.752

DELTA > 0

x = ((31.98^2-945.9684)^(1/2)-31.98)/(-49.3*2) or x = (-(31.98^2-945.9684)^(1/2)-31.98)/(-49.3*2)

x = -0.01014199*((31.98^2-945.9684)^(1/2)-31.98) or x = 0.01014199*((31.98^2-945.9684)^(1/2)+31.98)

(x+0.01014199*((31.98^2-945.9684)^(1/2)-31.98))*(x-0.01014199*((31.98^2-945.9684)^(1/2)+31.98)) = 0

((x+0.01014199*((31.98^2-945.9684)^(1/2)-31.98))*(x-0.01014199*((31.98^2-945.9684)^(1/2)+31.98)))/((0.3-x)^2) = 0

((x+0.01014199*((31.98^2-945.9684)^(1/2)-31.98))*(x-0.01014199*((31.98^2-945.9684)^(1/2)+31.98)))/((0.3-x)^2) = 0 // * (0.3-x)^2

(x+0.01014199*((31.98^2-945.9684)^(1/2)-31.98))*(x-0.01014199*((31.98^2-945.9684)^(1/2)+31.98)) = 0

( x+0.01014199*((31.98^2-945.9684)^(1/2)-31.98) )

x+0.01014199*((31.98^2-945.9684)^(1/2)-31.98) = 0 // - 0.01014199*((31.98^2-945.9684)^(1/2)-31.98)

x = -(0.01014199*((31.98^2-945.9684)^(1/2)-31.98))

x = -0.01014199*((31.98^2-945.9684)^(1/2)-31.98)

( x-0.01014199*((31.98^2-945.9684)^(1/2)+31.98) )

x-0.01014199*((31.98^2-945.9684)^(1/2)+31.98) = 0 // + -0.01014199*((31.98^2-945.9684)^(1/2)+31.98)

x = -(-0.01014199*((31.98^2-945.9684)^(1/2)+31.98))

x = 0.01014199*((31.98^2-945.9684)^(1/2)+31.98)

x in { -0.01014199*((31.98^2-945.9684)^(1/2)-31.98), 0.01014199*((31.98^2-945.9684)^(1/2)+31.98) }

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