(x^2/2)-(3X/20)=1/5

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Solution for (x^2/2)-(3X/20)=1/5 equation:


x in (-oo:+oo)

(x^2)/2-((3*X)/20) = 1/5 // - 1/5

(x^2)/2-((3*X)/20)-(1/5) = 0

(-3/20)*X+(x^2)/2-1/5 = 0

1/2*x^2 = -(-3/20*X-1/5) // : 1/2

x^2 = 2*(1/5-(-3/20*X))

x^2 = 2*(3/20*X+1/5) // ^ 1/2

abs(x) = 2^(1/2)*(3/20*X+1/5)^(1/2)

x = 2^(1/2)*(3/20*X+1/5)^(1/2) or x = -(2^(1/2)*(3/20*X+1/5)^(1/2))

x in { 2^(1/2)*(3/20*X+1/5)^(1/2), -(2^(1/2)*(3/20*X+1/5)^(1/2)) }

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