№418
3) 4x^2+4x+1=0
a=4, b=4, c=1
D=4^2-4*1*4=16-16=0
x=(-4±0)/8=-1/2
4) 25-10x+x^2
a=1, b=-10, c=25
D=-10^2-4*1*25=100-100=0
x=(10±0)/2=5
№419
1) 101^2-202*81+81^2=(101-81)^2=400
2) 37^2+126*37+63^2=(37+63)^2=10000
3) (48^2+2*48*18+18^2)/(48^2-18^2) = ((48+18)^2)/(48-18)(48+18) = (48+18)/(48-18) = 66/30=11/5=2,2
4) (85^2-17^2)/(85^2+2*85*17+17^2) =(85-17)(85+17)/(85+17)^2=(85-17)/(85+17)=68/102=2/3
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Answers & Comments
№418
3) 4x^2+4x+1=0
a=4, b=4, c=1
D=4^2-4*1*4=16-16=0
x=(-4±0)/8=-1/2
4) 25-10x+x^2
a=1, b=-10, c=25
D=-10^2-4*1*25=100-100=0
x=(10±0)/2=5
№419
1) 101^2-202*81+81^2=(101-81)^2=400
2) 37^2+126*37+63^2=(37+63)^2=10000
3) (48^2+2*48*18+18^2)/(48^2-18^2) = ((48+18)^2)/(48-18)(48+18) = (48+18)/(48-18) = 66/30=11/5=2,2
4) (85^2-17^2)/(85^2+2*85*17+17^2) =(85-17)(85+17)/(85+17)^2=(85-17)/(85+17)=68/102=2/3