a ) . ( x - 45 ) . 27 = 0
b ) . 23 . ( 42 - x ) = 23
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a) (x - 45) .27 = 0
=> x - 45 = 0
=> x = 45
b) 23 . (42 - x) = 23
42 - x = 1
x = 42 - 1
x = 41
BPT\(\Leftrightarrow\left(x-3\right)\left(x^2+3x+9\right)\left(x-1\right)\left(x^2+x+1\right)\left(3-x\right)\left(x+1\right)\ge0\)
\(\Leftrightarrow\left(x-3\right)\left(x-1\right)\left(3-x\right)\left(x+1\right)\ge0\) VÌ \(\left(\left(x^2+3x+9\right).\left(x^2+x+1\right)>0với\forall x\right)\)
\(\Leftrightarrow\left(x-3\right)^2.\left(1-x\right)\left(1+x\right)\ge0\)
\(\Leftrightarrow\left(1-x\right)\left(1+x\right)\ge0\left(vì\left(x-3\right)^2\ge0voi\forall x\right)\)
\(\Leftrightarrow-1\le x\le1\)
\(\left(0.125\right)^{100}\cdot8^{102}\)
\(=\left(0.125\cdot8\right)^{100}\cdot8^2\)
=64
a. \(495:\left(3\times5\times11\right)\)
\(=\left(3\times3\times5\times11\right):\left(3\times5\times11\right)\)
\(=3\times3\times5\times11:3:5:11\)
\(=\left(3:3\right)\times\left(5:5\right)\times\left(11:11\right)\times3\)
\(=1\times1\times1\times3=3\)
b. \(\left(15\times18\times24\right):\left(5\times9\times12\right)\)
\(=15\times18\times24:5:9:12\)
\(=\left(15:5\right)\times\left(18:9\right)\times\left(24:12\right)\)
\(=3\times2\times2\)
\(=12\)
c. \(\left(27+45+18+81\right):9\)
\(=\left(27:9\right)+\left(45:9\right)+\left(18:9\right)+\left(81:9\right)\)
\(=3+5+2+9\)
\(=19\)
a 495 : (3 x 5 x 11)
=495 : 165
= 3
b (15 x 18 x 24) : (5 x 9 x 12)
= (270 x 24) : (45 x 12)
= 6480 : 540
12
c (27 + 45 + 18 + 81) : 9
=171 : 9
=19
Bad boy ?
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