0.95=100/(x+10)^2

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Solution for 0.95=100/(x+10)^2 equation: 


D( x )

(x+10)^2 = 0

(x+10)^2 = 0

(x+10)^2 = 0

x+10 = 0 // - 10

x = -10

x in (-oo:-10) U (-10:+oo)

0.95 = 100/((x+10)^2) // - 100/((x+10)^2)

0.95-(100/((x+10)^2)) = 0

0.95-100*(x+10)^-2 = 0

0.95-100/((x+10)^2) = 0

(0.95*(x+10)^2)/((x+10)^2)-100/((x+10)^2) = 0

0.95*(x+10)^2-100 = 0

0.95*x^2+19*x-5 = 0

0.95*x^2+19*x-5 = 0

0.95*x^2+19*x-5 = 0

DELTA = 19^2-(-5*0.95*4)

DELTA = 380

DELTA > 0

x = (380^(1/2)-19)/(0.95*2) or x = (-380^(1/2)-19)/(0.95*2)

x = 0.52631579*(2*95^(1/2)-19) or x = 0.52631579*(-2*95^(1/2)-19)

(x-0.52631579*(-2*95^(1/2)-19))*(x-0.52631579*(2*95^(1/2)-19)) = 0

((x-0.52631579*(-2*95^(1/2)-19))*(x-0.52631579*(2*95^(1/2)-19)))/((x+10)^2) = 0

((x-0.52631579*(-2*95^(1/2)-19))*(x-0.52631579*(2*95^(1/2)-19)))/((x+10)^2) = 0 // * (x+10)^2

(x-0.52631579*(-2*95^(1/2)-19))*(x-0.52631579*(2*95^(1/2)-19)) = 0

( x-0.52631579*(-2*95^(1/2)-19) )

x-0.52631579*(-2*95^(1/2)-19) = 0 // + -0.52631579*(-2*95^(1/2)-19)

x = -(-0.52631579*(-2*95^(1/2)-19))

x = 0.52631579*(-2*95^(1/2)-19)

( x-0.52631579*(2*95^(1/2)-19) )

x-0.52631579*(2*95^(1/2)-19) = 0 // + -0.52631579*(2*95^(1/2)-19)

x = -(-0.52631579*(2*95^(1/2)-19))

x = 0.52631579*(2*95^(1/2)-19)

x in { 0.52631579*(-2*95^(1/2)-19), 0.52631579*(2*95^(1/2)-19) }

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