Question

Resolva utilizando o método que preferir:

a) ײ-4×+3=0
b)ײ-12×+35=0
c)ײ+4×+3=0
d)ײ-4×-32=0
e)ײ-10×+9=0

Answer 1

a) x²-4x+3=0
a=1 b=-4 c=3
∆=-4²-4•1•3
∆=16-12
∆=4
x=-(-4)±√4/2•1
x=4±2/2
x'=6/2
x'=3
x"=2/2
x"=1

b) x²-12x+35=0
a=1 b=-12 c=35
∆=-12²-4•1•35
∆=144-140
∆=4
x=-(-12)±√4/2•1
x=12±2/2
x'=14/2
x'=7
x"=10/2
x"=5

c) x²+4x+3=0
a=1 b=4 c=3
∆=4²-4•1•3
∆=16-12
∆=4
x=-4±√4/2•1
x=-4±2/2
x'=-2/2
x'=-1
x"=-6/2
x"=-3

d) x²-4x-32=0
a=1 b=-4 c=-32
∆=-4²-4•1•-32
∆=16+128
∆=144
x=-(-4)±√144/2•1
x=4±12/2
x'=16/2
x'=8
x"=-8/2
x=-4

e) x²-10x+9=0
a=1 b=-10 c=9
∆=-10²-4•1•9
∆=100-36
∆=64
x=-(-10)±√64/2•1
x=10±8/2
x'=18/2
x'=9
x"=2/2
x"=1