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Thay \(ab=c^2\)vào \(\frac{a^2+c^2}{b^2+c^2}\)ta có
\(\frac{a^2+ab}{b^2+ab}\)=\(\frac{a\left(a+b\right)}{b\left(a+b\right)}\)=\(\frac{a}{b}\)
Vậy \(\frac{a^2+c^2}{b^2+c^2}=\frac{a}{b}\)
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\(M\left(x\right)=x^2-2x+1=x^2-x-x+1\)
\(=x\left(x-1\right)-\left(x-1\right)=\left(x-1\right)\left(x-1\right)\)
\(=\left(x-1\right)^2\)
Ta có: \(\left(x-1\right)^2=0\Rightarrow x-1=0\Rightarrow x=1\)
Vậy x = 1 là nghiệm của M(x)
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a)
\(0,3-\dfrac{8}{3}:\dfrac{4}{3}\cdot\dfrac{1}{5}+1\\ =\dfrac{3}{10}-\dfrac{8}{3}\cdot\dfrac{3}{4}\cdot\dfrac{1}{5}+1\\ =\dfrac{3}{10}-2\cdot\dfrac{1}{5}+1\\ =\dfrac{3}{10}-\dfrac{2}{5}+1\\ =\dfrac{9}{10}\)
b)
\(\left(-\dfrac{1}{2}\right)^2-\dfrac{5}{8}:\left(0,5\right)^3-\dfrac{5}{3}\cdot\left(-6\right)\\ =\dfrac{1}{4}-\dfrac{5}{8}:\dfrac{1}{8}+\dfrac{5}{3}\cdot6\\ =\dfrac{1}{4}-\dfrac{5}{8}\cdot8+10\\ =\dfrac{1}{4}-5+10\\ =\dfrac{21}{4}\)
c)
\(2+4:\left(\dfrac{2}{3}-\dfrac{1}{6}\right)\cdot\left(-2,25\right)\\ =2+4:\dfrac{1}{2}\cdot\left(-2,25\right)\\ =2+8\cdot\left(-2,25\right)\\ =2-18\\ =-16\)
d)
\(\left(2\dfrac{5}{6}+1\dfrac{4}{9}\right):\left(10\dfrac{1}{12}-9\dfrac{1}{2}\right)\\ =\left(2+\dfrac{5}{6}+1+\dfrac{4}{9}\right):\left(10+\dfrac{1}{12}-9-\dfrac{1}{2}\right)\\ =\left(3+\dfrac{23}{18}\right):\left(1-\dfrac{5}{12}\right)\\ =\dfrac{77}{18}:\dfrac{7}{12}\\ =\dfrac{22}{3}\)
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https://olm.vn/hoi-dap/detail/64855025834.html, tham khảo nhé
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