(x^2/2)-(7x/20)=(3/10)

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Solution for (x^2/2)-(7x/20)=(3/10) equation: 


x in (-oo:+oo)

(x^2)/2-((7*x)/20) = 3/10 // - 3/10

(x^2)/2-((7*x)/20)-(3/10) = 0

(x^2)/2+(-7/20)*x-3/10 = 0

1/2*x^2-7/20*x-3/10 = 0

DELTA = (-7/20)^2-(-3/10*1/2*4)

DELTA = 289/400

DELTA > 0

x = ((289/400)^(1/2)+7/20)/(1/2*2) or x = (7/20-(289/400)^(1/2))/(1/2*2)

x = 6/5 or x = -1/2

x in { -1/2, 6/5 }

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