2=(7/2x-1)+(-3/2x-1)^2

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Solution for 2=(7/2x-1)+(-3/2x-1)^2 equation:


x in (-oo:+oo)

2 = ((-3/2)*x-1)^2+(7/2)*x-1 // - ((-3/2)*x-1)^2+(7/2)*x-1

1-((-3/2)*x-1)^2-((7/2)*x)+2 = 0

(-7/2)*x-((-3/2)*x-1)^2+1+2 = 0

(-7*x)/2-1*(-3/2*x-1)^2+1+2 = 0

(-1*2*(-3/2*x-1)^2)/2+(-7*x)/2+(1*2)/2+(2^2)/2 = 0

1*2-1*2*(-3/2*x-1)^2-7*x+4 = 0

2-9/2*x^2-13*x-2+4 = 0

4-9/2*x^2-13*x = 0

4-9/2*x^2-13*x = 0

4-9/2*x^2-13*x = 0

DELTA = (-13)^2-(-9/2*4*4)

DELTA = 241

DELTA > 0

x = (241^(1/2)+13)/(-9/2*2) or x = (13-241^(1/2))/(-9/2*2)

x = (241^(1/2)+13)/(-9) or x = (13-241^(1/2))/(-9)

(x-((241^(1/2)+13)/(-9)))*(x-((13-241^(1/2))/(-9))) = 0

((x-((241^(1/2)+13)/(-9)))*(x-((13-241^(1/2))/(-9))))/2 = 0

((x-((241^(1/2)+13)/(-9)))*(x-((13-241^(1/2))/(-9))))/2 = 0 // * 2

(x-((241^(1/2)+13)/(-9)))*(x-((13-241^(1/2))/(-9))) = 0

( x-((13-241^(1/2))/(-9)) )

x-((13-241^(1/2))/(-9)) = 0 // + (13-241^(1/2))/(-9)

x = (13-241^(1/2))/(-9)

( x-((241^(1/2)+13)/(-9)) )

x-((241^(1/2)+13)/(-9)) = 0 // + (241^(1/2)+13)/(-9)

x = (241^(1/2)+13)/(-9)

x in { (13-241^(1/2))/(-9), (241^(1/2)+13)/(-9) }

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