1.7E-3=(4x^2)/(1.4-x)^2

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Solution for 1.7E-3=(4x^2)/(1.4-x)^2 equation:


D( x )

(1.4-x)^2 = 0

(1.4-x)^2 = 0

(1.4-x)^2 = 0

1.4-x = 0 // - 1.4

-x = -1.4 // * -1

x = 1.4

x in (-oo:1.4) U (1.4:+oo)

1.7*e-3 = (4*x^2)/((1.4-x)^2) // - (4*x^2)/((1.4-x)^2)

1.7*e-((4*x^2)/((1.4-x)^2))-3 = 0

1.7*e-4*x^2*(1.4-x)^-2-3 = 0

(-4*x^2)/((1.4-x)^2)+1.7*e-3 = 0

(-4*x^2)/((1.4-x)^2)+(1.7*e*(1.4-x)^2)/((1.4-x)^2)+(-3*(1.4-x)^2)/((1.4-x)^2) = 0

1.7*e*(1.4-x)^2-3*(1.4-x)^2-4*x^2 = 0

(1.7*e-4)*x^2-3*x^2-4.76*e*x+8.4*x+3.332*e-5.88 = 0

(1.7*e-7)*x^2+(8.4-4.76*e)*x+3.332*e-5.88 = 0

(1.7*e-7)*x^2+(8.4-4.76*e)*x+3.332*e-5.88 = 0

(1.7*e-7)*x^2+(8.4-4.76*e)*x+3.332*e-5.88 = 0

DELTA = (8.4-4.76*e)^2-(4*(1.7*e-7)*(3.332*e-5.88))

DELTA = (8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7)

DELTA = 50.83704091545488548336

DELTA > 0

x = (((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-(-4.76*e)-8.4)/(2*(1.7*e-7)) or x = (-(-4.76*e)-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))

x = (4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7)) or x = (4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))

(x-((4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))))*(x-((4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7)))) = 0

((x-((4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))))*(x-((4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7)))))/((1.4-x)^2) = 0

((x-((4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))))*(x-((4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7)))))/((1.4-x)^2) = 0 // * (1.4-x)^2

(x-((4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))))*(x-((4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7)))) = 0

( x-((4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))) )

x-((4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))) = 0 // + (4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))

x = (4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))

( x-((4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))) )

x-((4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))) = 0 // + (4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))

x = (4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7))

x in { (4.76*e+((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7)), (4.76*e-((8.4-4.76*e)^2-4*(3.332*e-5.88)*(1.7*e-7))^(1/2)-8.4)/(2*(1.7*e-7)) }

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