Question

1. Resolva as equações de 2° grau através da formula resolutiva do delta e bhaskara.
a) -2x2 + 4x – 3 = 0
b) X2 – 5x + 6 = 0
c) X2 + 2x + 1 = 0
d) –x2 + 8x – 3 = 0

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Answer 1

Resposta:

A) X2-5x+63D=0

A=1/B=-5/C=6

∆= (4)²- 4-2-3

∆=16-24

∆= -8

X=-b±√∆/2-2

X=(-4)²±√-8/4

X=16±-4/4

X1=16+4/4

X1=20/4=5

X2=16-4/4

X2=12/4=3

B) x²-5+6=0

A=1/B=-5/C=6

∆=(-5)²-4.1.6

∆=25-24

∆=1

X=B±√∆/2

X=-(-5)²±√1/2

X=25±1/2

X1=25+1=26

X2=25-1=24

C) x²+2x+1=0

A=1/B=2/C=1

∆=(5)²-4.1.1

∆=25-4

∆=21

X=-B±√∆/2

X=-(2)±√21/2

X=-2±4.5/2

X1=2,5/2=1,25

X2=6,5/2=3,25

D) -x²+8x=0

A=-1/B=8/C=-3

∆-(-1)²-4-1.-3

∆=1+12

∆=13

X=-B±√∆/2

X=-8±√13/2

X=-8±√3,6/2=4,4/2

X1=2,2

X2=8+3,6/2

X2=11.6/2

X2=5,8