(6y+9)2/3=10

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Solution for (6y+9)2/3=10 equation:


y in (-oo:+oo)

((6*y+9)^2)/3 = 10 // - 10

((6*y+9)^2)/3-10 = 0

((6*y+9)^2)/3+(-10*3)/3 = 0

(6*y+9)^2-10*3 = 0

36*y^2+108*y+51 = 0

36*y^2+108*y+51 = 0

3*(12*y^2+36*y+17) = 0

12*y^2+36*y+17 = 0

DELTA = 36^2-(4*12*17)

DELTA = 480

DELTA > 0

y = (480^(1/2)-36)/(2*12) or y = (-480^(1/2)-36)/(2*12)

y = (4*30^(1/2)-36)/24 or y = (-4*30^(1/2)-36)/24

3*(y-((-4*30^(1/2)-36)/24))*(y-((4*30^(1/2)-36)/24)) = 0

(3*(y-((-4*30^(1/2)-36)/24))*(y-((4*30^(1/2)-36)/24)))/3 = 0

(3*(y-((-4*30^(1/2)-36)/24))*(y-((4*30^(1/2)-36)/24)))/3 = 0 // * 3

3*(y-((-4*30^(1/2)-36)/24))*(y-((4*30^(1/2)-36)/24)) = 0

( y-((-4*30^(1/2)-36)/24) )

y-((-4*30^(1/2)-36)/24) = 0 // + (-4*30^(1/2)-36)/24

y = (-4*30^(1/2)-36)/24

( y-((4*30^(1/2)-36)/24) )

y-((4*30^(1/2)-36)/24) = 0 // + (4*30^(1/2)-36)/24

y = (4*30^(1/2)-36)/24

y in { (-4*30^(1/2)-36)/24, (4*30^(1/2)-36)/24 }

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