(x-7x2)-y/5=-9

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Solution for (x-7x2)-y/5=-9 equation:


x in (-oo:+oo)

x-(7*x^2)-(y/5) = -9 // + 9

x-(7*x^2)-(y/5)+9 = 0

x-7*x^2-(y/5)+9 = 0

x-7*x^2-1/5*y+9 = 0

DELTA = 1^2-(-7*4*(9-1/5*y))

DELTA = 28*(9-1/5*y)+1

28*(9-1/5*y)+1 = 0

28*(9-1/5*y)+1 = 0

253-28/5*y = 0

253-28/5*y = 0

253-28/5*y = 0 // - 253

-28/5*y = -253 // : -28/5

y = -253/(-28/5)

y = 1265/28

DELTA = 0 <=> t_1 = 1265/28

x = -1/(-7*2) i y = 1265/28

x = 1/14 i y = 1265/28

( x = ((28*(9-1/5*y)+1)^(1/2)-1)/(-7*2) or x = (-(28*(9-1/5*y)+1)^(1/2)-1)/(-7*2) ) i y > 1265/28

( x = ((28*(9-1/5*y)+1)^(1/2)-1)/(-14) or x = ((28*(9-1/5*y)+1)^(1/2)+1)/14 ) i y > 1265/28

y-1265/28 > 0

y-1265/28 > 0 // + 1265/28

y > 1265/28

x in { 1/14, ((28*(9-1/5*y)+1)^(1/2)-1)/(-14), ((28*(9-1/5*y)+1)^(1/2)+1)/14 }

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