0,7=(162,4^2-156^2)/(162,4^2-x^2)

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Solution for 0,7=(162,4^2-156^2)/(162,4^2-x^2) equation:


D( x )

162.4^2-x^2 = 0

162.4^2-x^2 = 0

162.4^2-x^2 = 0

-1*x^2 = -162.4^2 // : -1

x^2 = 162.4^2

x^2 = 162.4^2 // ^ 1/2

abs(x) = 162.4

x = 162.4 or x = -162.4

x in (-oo:-162.4) U (-162.4:162.4) U (162.4:+oo)

0.7 = (162.4^2-156^2)/(162.4^2-x^2) // - (162.4^2-156^2)/(162.4^2-x^2)

0.7-((162.4^2-156^2)/(162.4^2-x^2)) = 0

(-1*(162.4^2-24336))/(162.4^2-x^2)+0.7 = 0

(-1*(162.4^2-24336))/(162.4^2-x^2)+(0.7*(162.4^2-x^2))/(162.4^2-x^2) = 0

0.7*(162.4^2-x^2)-1*(162.4^2-24336) = 0

0.7*162.4^2-0.7*x^2-162.4^2+24336 = 0

(0.7*162.4^2-0.7*x^2-162.4^2+24336)/(162.4^2-x^2) = 0

(0.7*162.4^2-0.7*x^2-162.4^2+24336)/(162.4^2-x^2) = 0 // * 162.4^2-x^2

0.7*162.4^2-0.7*x^2-162.4^2+24336 = 0

-0.7*x^2 = -(0.7*162.4^2-162.4^2+24336) // : -0.7

x^2 = 1.42857143*(0.7*162.4^2-162.4^2+24336)

x^2 = 1.42857143*(0.7*162.4^2-162.4^2+24336) // ^ 1/2

abs(x) = 1.42857143^(1/2)*(0.7*162.4^2-162.4^2+24336)^(1/2)

x = 1.42857143^(1/2)*(0.7*162.4^2-162.4^2+24336)^(1/2) or x = -(1.42857143^(1/2)*(0.7*162.4^2-162.4^2+24336)^(1/2))

x in { 1.42857143^(1/2)*(0.7*162.4^2-162.4^2+24336)^(1/2), -(1.42857143^(1/2)*(0.7*162.4^2-162.4^2+24336)^(1/2)) }

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