Ecuaciones de segundo grado.

OPERACIONESñ

• X²+2X-3=0

A=1                X= -(2) -+ √(2)²-4(1)(-3)/2

B=2                 X= -2 -+√16/2

C=3                 X= -2-+ 4/2

X₁= -2+4/2=1

X₂= -2-4/2= -3

• X²+3X-4=0

A=1                X=-(3)-+ √(3)² -4(1)(-4)/2

B=3                 X= -3 -+ √25/2

C=4                 X= -3 -+5/2

X₁= -3+5/2= 1

X₂= -3-5/2= -4

• 4X²-20X+24=0

A=4                X=-(-20) -+√(-20)²-4(4)(24)/8

B=20               X=20-+ √400-384/8

C=24               X=20-+√ 16/8

X₁= 20-4/8=3

X₂=20-4/8=2

• 3X²-5X-2=0

A=3                X=-(-5)²-4(3)(-2)/6

B=5                 X=5-+√25+24/6

C=2                 X=5-+√49/6

X₁=5+7/6=2

X₂=5-7/6= -1/3

• 3X²-4X+1=0

A= 3               X=-(-4)-+ √(-4)²-4(3)(1)/6

B=-4               X=4-+√16-12/6

C=1                 X=4-+√4/6

X₁=4+2/6=1

X₂=4-2/6=1/3