Cho C= x7-26x6+27x5-47x4-77x3+50x2+x-24
tính C khi x=25
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Bài 3: Tính giá trị của biểu thức sau bằng cách hợp lý:
a/ A = x5 – 100x 4 + 100x3 – 100x2 + 100x – 9 với x = 99
b/ B = x6 – 20x5 – 20x4 – 20x3 – 20x2 – 20x + 3 với x = 21
c/. C = x7 – 26x6 + 27x5 -47x4 – 77x3 + 50x2 + x – 24 với x = 25
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S=200−(x−1)(x−200)≥0⇒Smin=200" role="presentation" style="border:0px; direction:ltr; display:inline-block; float:none; font-size:16.38px; line-height:0; margin:0px; max-height:none; max-width:none; min-height:0px; min-width:0px; padding:1px 0px; position:relative; white-space:nowrap; word-spacing:normal; word-wrap:normal" class="MathJax_CHTML mjx-chtml">
x≤y⇒x≤100" role="presentation" style="border:0px; direction:ltr; display:inline-block; float:none; font-size:16.38px; line-height:0; margin:0px; max-height:none; max-width:none; min-height:0px; min-width:0px; padding:1px 0px; position:relative; white-space:nowrap; word-spacing:normal; word-wrap:normal" class="MathJax_CHTML mjx-chtml">
S=100.101−(x−100)(x−101)≤100.101⇒Smax=100.101" role="presentation" style="border:0px; direction:ltr; display:inline-block; float:none; font-size:16.38px; line-height:0; margin:0px; max-height:none; max-width:none; min-height:0px; min-width:0px; padding:1px 0px; position:relative; white-space:nowrap; word-spacing:normal; word-wrap:normal" class="MathJax_CHTML mjx-chtml">
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Cho f(x) 1+x3+x5+x7+...+x51f(x) 1+x3+x5+x7+...+x51. Khi đó f(-1) bằng: A.– 24 B.26 C.– 25 D.– 23
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Cho . Khi đó f(-1) bằng:
A.– 24
B.26
C.– 25
D.– 23
Tính
(-12)x7+(-8)x7+4x(-25)+(-6)x(-25)
Ai nhanh mình tích cho 2 tích
(-12)x7+(-8)x7+4x(-25)+(-6)x(-25)=(-12-8)x7+(-25)(4x-6x)=7x(-20)+(-25)(-2x)=-140x+50x=-90x
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Cho 3 số thực a,b,c thỏa mãn 27(a+b+c)3=(3a+b-c)3+(3b+c-a)3(3c+a-b)3+24
Tính (a+2b)(b+2c)(c+2a)
Đặt \(3a+b-c=x;3b+c-a=y;3c+a-b=z\)
\(\Rightarrow27\left(a+b+c\right)^3=\left[3\left(a+b+c\right)\right]^3=\left(x+y+z\right)^3\)
Biểu thức đã cho trở thành:
\(\left(x+y+z\right)^3=x^3+y^3+z^3+24\)
\(\Leftrightarrow\left(x+y+z\right)^3-x^3-y^3-z^3=24\)
\(\Leftrightarrow\left(x+y+z\right)^3-\left(x+y\right)^3+3xy\left(x+y\right)-z^3=24\)
\(\Leftrightarrow\left(x+y+z\right)^3-\left(x+y+z\right)^3+3xy\left(x+y\right)+3\left(x+y\right)z\left(x+y+z\right)=24\)
\(\Leftrightarrow3\left(x+y\right)\left(z^2+xy+yz+zx\right)=24\)
\(\Leftrightarrow3\left(x+y\right)\left[z\left(y+z\right)+x\left(y+z\right)\right]=24\)
\(\Leftrightarrow3\left(x+y\right)\left(y+z\right)\left(x+z\right)=24\)
\(\Leftrightarrow\left(x+y\right)\left(y+z\right)\left(z+x\right)=8\)
\(\Leftrightarrow\left(3a+b-c+3b+c-a\right)\left(3b+c-a+3c+a-b\right)\left(3a+b-c+3c+a-b\right)=8\)
\(\Leftrightarrow\left(2a+4b\right)\left(2b+4c\right)\left(2c+4a\right)=8\)
\(\Leftrightarrow2\left(a+2b\right).2\left(b+2c\right).2\left(c+2a\right)=8\)
\(\Leftrightarrow8\left(a+2b\right)\left(b+2c\right)\left(c+2a\right)=8\)
\(\Leftrightarrow\left(a+2b\right)\left(b+2c\right)\left(c+2a\right)=1\)
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tính tổng:
2
1
x
3
+
2
3
x
5
+
2
5
x
7
+
2
7
x...
Đọc tiếp
tính tổng: 2 1 x 3 + 2 3 x 5 + 2 5 x 7 + 2 7 x 9 + 2 9 x 11
= 1 - 1 3 + 1 3 - 1 5 + 1 5 - 1 7 + 1 7 - 1 11 + 1 11 = 1 - 1 11 = 10 11
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help my
tính cách thuân tiện nhất 2345 x7 + 7655 x24 + 2345 x 13 + 7655 x 25 + 7655 x 51 + 2345 x 80
\(=2345\left(7+13+80\right)+7655\left(24+25+51\right)=10000\cdot100=1000000\)
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Bài 3: Tìm x
1) ( x + 5)2 = (x + 3)( x – 7)
2) (x + 2)(x2 -2x + 4) = 15 + x(x2 +2)
3) x2 + 6x = -9
4) x3 - 9x2 = 27 – 27x
5) (2x + 1)2 - 4(x + 2)2 = 9
6) –x2 - 2x +15 = 0
\(1,\Leftrightarrow x^2+10x+25=x^2-4x-21\\ \Leftrightarrow14x=-46\\ \Leftrightarrow x=-\dfrac{23}{7}\\ 2,\Leftrightarrow x^3+8=15+x^3+2x\\ \Leftrightarrow2x=-7\Leftrightarrow x=-\dfrac{7}{2}\\ 3,\Leftrightarrow\left(x+3\right)^2=0\\ \Leftrightarrow x=-3\\ 4,\Leftrightarrow x^3-9x^2+27x-27=0\\ \Leftrightarrow\left(x-3\right)^3=0\\ \Leftrightarrow x-3=0\Leftrightarrow x=3\\ 5,\Leftrightarrow4x^2+4x+1-4x^2-16x-16=9\\ \Leftrightarrow-12x=24\Leftrightarrow x=-2\\ 6,\Leftrightarrow x^2-3x+5x-15=0\\ \Leftrightarrow\left(x-3\right)\left(x+5\right)=0\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
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b1
a) 29x(-13)-27x(-29)-14x(-29)
b) (-67)x(1-301)-301x67
c)(-4)x(-125)x25x(-8)x7
d) 1-2+3-4+5-6+.....+2013
b2
a) 11-(15+11)=x-(25-9)
b) 4x2^x-3=125
a)\(29.\left(-13\right)-27.\left(-29\right)-14.\left(-29\right)\)
\(=13\left(-29\right)-27.\left(-29\right)-14.\left(-29\right)\)
\(=-29.\left(13-27-14\right)\)
\(=\left(-28\right).\left(-29\right)\)
\(=812\)
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77x3
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