8/5r+1=-4/20r+4+r/15r+3

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Solution for 8/5r+1=-4/20r+4+r/15r+3 equation:


r in (-oo:+oo)

(8/5)*r+1 = (r/15)*r+(-4/20)*r+3+4 // - (r/15)*r+(-4/20)*r+3+4

(8/5)*r-((r/15)*r)-((-4/20)*r)-4-3+1 = 0

(-1/15)*r^2+(8/5)*r+(1/5)*r-4-3+1 = 0

9/5*r-1/15*r^2-6 = 0

DELTA = (9/5)^2-(-6*(-1/15)*4)

DELTA = 41/25

DELTA > 0

r = ((41/25)^(1/2)-9/5)/(-1/15*2) or r = (-(41/25)^(1/2)-9/5)/(-1/15*2)

r = -15/2*((41/25)^(1/2)-9/5) or r = 15/2*((41/25)^(1/2)+9/5)

r in { -15/2*((41/25)^(1/2)-9/5), 15/2*((41/25)^(1/2)+9/5) }

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