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Chúng ta có:
1755. 2 = 3510 6019. 2 = 12038
1755 + 3510 = 4265 6019 + 12038 = 18057
Câu trả lời là :
8426. 2 = 16852
8426 + 16852 = 25278
=>? = 25278
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Let \(f\left(x\right)=\dfrac{\left(x-a\right)\left(x-b\right)}{\left(c-a\right)\left(c-b\right)}+\dfrac{\left(x-b\right)\left(x-c\right)}{\left(a-b\right)\left(a-c\right)}+\dfrac{\left(x-c\right)\left(x-a\right)}{\left(b-c\right)\left(b-a\right)}-1\)
We have:
\(f\left(a\right)=0+1+0-1=0\)
Similarity \(f\left(b\right)=0,f\left(c\right)=0\)
\(f\left(x\right)\) is a degree of 2 and have 3 different solotutions \(\left(a,b,c\right)\)
\(\Rightarrow f\left(x\right)=0\)
\(\Rightarrow\dfrac{\left(x-a\right)\left(x-b\right)}{\left(c-a\right)\left(c-b\right)}+\dfrac{\left(x-b\right)\left(x-c\right)}{\left(a-b\right)\left(a-c\right)}+\dfrac{\left(x-c\right)\left(x-a\right)}{\left(b-c\right)\left(b-a\right)}=1\)