X+2+x+1=5/4(x+2)(x-1)

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Solution for X+2+x+1=5/4(x+2)(x-1) equation:


x in (-oo:+oo)

X+x+1+2 = (5/4)*(x+2)*(x-1) // - (5/4)*(x+2)*(x-1)

X-((5/4)*(x+2)*(x-1))+x+1+2 = 0

(-5/4)*(x-1)*(x+2)+X+x+1+2 = 0

X-5/4*(x-1)*(x+2)+x+1+2 = 0

X-5/4*(x-1)*(x+2)+x+1+2 = 0

X-5/4*x^2-5/4*x+x+1+2+5/2 = 0

X-5/4*x^2-1/4*x+1+2+5/2 = 0

X-5/4*x^2-1/4*x+2+7/2 = 0

X-5/4*x^2-1/4*x+11/2 = 0

X-5/4*x^2-1/4*x+11/2 = 0

X-5/4*x^2-1/4*x+11/2 = 0

DELTA = (-1/4)^2-(-5/4*4*(X+11/2))

DELTA = 5*(X+11/2)+1/16

5*(X+11/2)+1/16 = 0

(5*16*(X+11/2))/16+1/16 = 0

5*16*(X+11/2)+1 = 0

80*X+441 = 0

(80*X+441)/16 = 0

(80*X+441)/16 = 0 // * 16

80*X+441 = 0

80*X+441 = 0 // - 441

80*X = -441 // : 80

X = -441/80

DELTA = 0 <=> t_3 = -441/80

x = 1/4/(-5/4*2) i X = -441/80

x = -1/10 i X = -441/80

( x = ((5*(X+11/2)+1/16)^(1/2)+1/4)/(-5/4*2) or x = (1/4-(5*(X+11/2)+1/16)^(1/2))/(-5/4*2) ) i X > -441/80

( x = -2/5*((5*(X+11/2)+1/16)^(1/2)+1/4) or x = -2/5*(1/4-(5*(X+11/2)+1/16)^(1/2)) ) i X > -441/80

X-(-441/80) > 0

X+441/80 > 0

X+441/80 > 0 // - 441/80

X > -441/80

x in { -1/10, -2/5*((5*(X+11/2)+1/16)^(1/2)+1/4), -2/5*(1/4-(5*(X+11/2)+1/16)^(1/2)) }

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