\(\frac{147^2-94.147+47^2}{125^2-25^2}\) Tính nhanh
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\(\sqrt{9x-18}+\sqrt{x-2}=16\)
\(\Rightarrow\sqrt{9x-18}=16-\sqrt{x-2}\)
\(\Rightarrow9x-18=256-32\sqrt{x-2}+x-2\)
\(\Rightarrow9x-x=272-\sqrt{x-2}\)
\(\Rightarrow\sqrt{x-2}=272-8x\)
\(\Rightarrow x-2=73984-4352x+64x^2\)
\(\Rightarrow64x^2-4353x+7386=0\)
Làm nốt
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a) (5x-1)2-(5x-4)(5x+4)=7
\(25x^2-10x+1-\left(25x^2+20x-20x-16\right)=7\)
\(25x^2-10x+1-25x^2-20x+20x+16=7\)
\(-10x=7-1-16\)
\(-10x=-10\)
\(x=1\)
b) (x+5)2-x2=45
\(x^2+10x+25-x^2=45\)
\(10x=45-25\)
\(10x=20\)
\(x=2\)
Học tốt !!! có gì ko hiểu thì họi lại nhé em
a) (5x - 1)2 - (5x - 4)(5x + 4) = 7
25x2 - 10x + 1 - 25x2 + 16 = 7
-10x + 17 = 7
-10x = 7 - 17
-10x = -10
x = 1
b) (x + 5)2 - x2 = 45
x2 + 10x + 25 - x2 = 45
10x + 25 = 45
10x = 45 - 25
10x = 20
x = 2
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1632 + 74 . 163 + 372 = ( 163 + 37 ) . ( 163 + 37 ) = 200 . 200 = 40000
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\(=\frac{\left(147-47\right)^2}{\left(125-25\right)\left(125+25\right)}\)
\(=\frac{100^2}{100.150}\) \(=\frac{100}{150}=\frac{2}{3}\)
\(=\frac{147^2-2.47.147+47^2}{\left(125+25\right)\left(125-25\right)}=\frac{\left(147-47\right)^2}{150.100}=\frac{100^2}{150.100}=\frac{100}{150}=\frac{2}{3}.\)