y=1/5(x-1)(x+9)

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Solution for y=1/5(x-1)(x+9) equation:


x in (-oo:+oo)

y = (1/5)*(x-1)*(x+9) // - (1/5)*(x-1)*(x+9)

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

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

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

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

y-1/5*x^2-8/5*x+9/5 = 0

y-1/5*x^2-8/5*x+9/5 = 0

y-1/5*x^2-8/5*x+9/5 = 0

DELTA = (-8/5)^2-(-1/5*4*(y+9/5))

DELTA = 4/5*(y+9/5)+64/25

4/5*(y+9/5)+64/25 = 0

(4/5*25*(y+9/5))/25+64/25 = 0

4/5*25*(y+9/5)+64 = 0

20*y+100 = 0

(20*y+100)/25 = 0

(20*y+100)/25 = 0 // * 25

20*y+100 = 0

20*y+100 = 0 // - 100

20*y = -100 // : 20

y = -100/20

y = -5

DELTA = 0 <=> t_3 = -5

x = 8/5/(-1/5*2) i y = -5

x = -4 i y = -5

( x = ((4/5*(y+9/5)+64/25)^(1/2)+8/5)/(-1/5*2) or x = (8/5-(4/5*(y+9/5)+64/25)^(1/2))/(-1/5*2) ) i y > -5

( x = -5/2*((4/5*(y+9/5)+64/25)^(1/2)+8/5) or x = -5/2*(8/5-(4/5*(y+9/5)+64/25)^(1/2)) ) i y > -5

y+5 > 0

y+5 > 0 // - 5

y > -5

x in { -4, -5/2*((4/5*(y+9/5)+64/25)^(1/2)+8/5), -5/2*(8/5-(4/5*(y+9/5)+64/25)^(1/2)) }

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