Resolva os sistemas de equações do 2 grau
a)x²+y²=25
x-y=7
b)x²-y²=1
2x+y=2
c)x-y=5
xy=24
d)x+y=1
2x+y=7
me ajude!
x-y=7, ----->y=x-7
x²+(x-7)²=26
x²+x²-14x+49=25
2x²-14x+24=0
x²-7x+12=0
∆=(-7)²-4(1)(12)=
49-48=1
x=(7±1)/2
x'=8/2=4
x"=6/2=3
para x=4, y=-3
para x=3, y=-4
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Verified answer
a)x²+y²=25
x-y=7, ----->y=x-7
x²+(x-7)²=26
x²+x²-14x+49=25
2x²-14x+24=0
x²-7x+12=0
∆=(-7)²-4(1)(12)=
49-48=1
x=(7±1)/2
x'=8/2=4
x"=6/2=3
para x=4, y=-3
para x=3, y=-4