Question

Admitindo U=R, resolva as equações do 2° grau.


a)x²+x-12=0

b)x²+5x-24=0

c)x²+8x+12=0

d)x²+8x+16=0

e)3x²-7x+2=0

Answer 1

Explicação passo-a-passo:

a) x²+x-12= 0

∆= 1²-4.1.-12

∆= 1+48

∆= 49

x= -1±7/2

x'= 6/2= 3

x"= -8/2= -4

S={-4;3}

b)x²+5x-24= 0

∆= 5²-4.1.-24

∆= 25+96

∆= 121

x= -5±11/2

x'= 6/2= 3

x"= -16/2= -8

S={-8;3}

c) x²+8x+12= 0

∆= 8²-4.1.12

∆= 64-48

∆= 16

x= -8±4/2

x'= -4/2= -2

x"= -12/2= -6

S={-2;-6}

d) x²+8x+16= 0

∆= 8²-4.1.16

∆= 64-64

∆= 0

x= -8±0/2

x' e x"= -8/2= -4

S={-4}

e) 3x²-7x+2= 0

∆= (-7)²-4.3.2

∆= 49-24

∆= 25

x= 7±5/6

x'= 12/6= 2

x"= 2/6= 1/3

S={1/3;2}

espero ter ajudado