Question

1) Resolva as equações do 2º grau
a 10x2 = 1 + 3x
b 6x2 - 2x = 1 - 3x
c x2 - x= x - 1
com conta pf
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Answer 1

Resposta:

a) 10x²= 1+3x

10x²-3x-1

∆= b²-4ac

∆= (-3)²-4*10*(-1)

∆=9+40

∆= 49

x½= -b±√∆/2a

x½= 3±√49/2*10

x½= 3±7/20

x1= 10/20

x1= 1/2

x2=3-7/20

x2=-4/20

x2= -1/5

b)6x²-2x=1-3x

6x²+x-1=0

∆= b²-4ac

∆= 1²-4*6*(-1)

∆= 1+24

∆= 25

x½=-b±√∆/2a

x½= -1±√25/2*6

x½= -1±5/12

x1= -1+5/12

x1= 4/12

x1= 1/3

x2= -1-6/12

x2=-7/12

c) x²-x= x-1

x²-2x+1

∆=b²-4ac

∆=(-2)²-4*1*1

∆=4-4

∆=0

x½= -b±√∆/2a

x½=-1±√0/2*1

x½= -1±0/2

x1= -1+0/2= -1/2

x2= -1-0/2= -1/2

espero ter ajudado

obrigado