X+7/5x^2+39x+30

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Solution for X+7/5x^2+39x+30 equation:


x in (-oo:+oo)

X+(7/5)*x^2+39*x+30 = 0

X+7/5*x^2+39*x+30 = 0

DELTA = 39^2-(7/5*4*(X+30))

DELTA = 1521-28/5*(X+30)

1521-28/5*(X+30) = 0

1521-28/5*(X+30) = 0

1353-28/5*X = 0

1353-28/5*X = 0

1353-28/5*X = 0 // - 1353

-28/5*X = -1353 // : -28/5

X = -1353/(-28/5)

X = 6765/28

DELTA = 0 <=> t_1 = 6765/28

x = -39/(7/5*2) i X = 6765/28

x = -195/14 i X = 6765/28

( x = ((1521-28/5*(X+30))^(1/2)-39)/(7/5*2) or x = (-(1521-28/5*(X+30))^(1/2)-39)/(7/5*2) ) i X > 6765/28

( x = 5/14*((1521-28/5*(X+30))^(1/2)-39) or x = -5/14*((1521-28/5*(X+30))^(1/2)+39) ) i X > 6765/28

X-6765/28 > 0

X-6765/28 > 0 // + 6765/28

X > 6765/28

x in { -195/14, 5/14*((1521-28/5*(X+30))^(1/2)-39), -5/14*((1521-28/5*(X+30))^(1/2)+39) }

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