8x[x:12]=128
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x=7
nên x+1=8
\(A=x^{15}-x^{14}\left(x+1\right)+x^{13}\left(x+1\right)-...-x^2\left(x+1\right)+x\left(x+1\right)-5\)
\(=x-5=7-5=2\)
thay x=7
ta có:7^15-8*7^14+887^13-8*7^12+...-8*7^2+8*7-2015
f(7)=7^15-8.7^14+8.7^13-8.7^12+...
-8.7^2+8.7-5=
= -7^14+8.7^13-8.7^12+...-8.7^2+8.7-5=
=7^13-8.7^12+...-8.7^2+8.7-5=
= -7^12+...-8.7^2+8.7-5=
=...= -7^2+8.7-5=7-5=2
Kết quả là 2
f(7)=7^15-8.7^14+8.7^13-8.7^12+...
-8.7^2+8.7-5=
= -7^14+8.7^13-8.7^12+...-8.7^2+8.7-5=
=7^13-8.7^12+...-8.7^2+8.7-5=
= -7^12+...-8.7^2+8.7-5=
=...= -7^2+8.7-5=7-5=2
Kết quả là 2
a.
\(\Leftrightarrow\sqrt[3]{3x-5}=\left(2x-3\right)^3+2x-3-\left(3x-5\right)\)
Đặt \(\left\{{}\begin{matrix}2x-3=a\\\sqrt[3]{3x-5}=b\end{matrix}\right.\)
\(\Rightarrow b=a^3+a-b^3\)
\(\Leftrightarrow a^3-b^3+a-b=0\)
\(\Leftrightarrow\left(a-b\right)\left(a^2+ab+b^2+1\right)=0\)
\(\Leftrightarrow a=b\)
\(\Leftrightarrow\sqrt[3]{3x-5}=2x-3\)
\(\Leftrightarrow3x-5=\left(2x-3\right)^3\)
\(\Leftrightarrow8x^3-36x^2+51x-22=0\)
\(\Leftrightarrow\left(x-2\right)\left(8x^2-20x+11\right)=0\)
\(\Leftrightarrow...\)
b.
\(\Leftrightarrow x^3-2x^2-\dfrac{5}{3}x+3x-2-\sqrt[3]{81x-8}=0\)
\(\Leftrightarrow x^3-2x^2-\dfrac{5}{3}x+\dfrac{\left(3x-2\right)^3-\left(81x-8\right)}{\left(3x-2\right)^2+\left(3x-2\right)\sqrt[3]{81x-8}+\sqrt[3]{\left(81x-8\right)^2}}=0\)
\(\Leftrightarrow x^3-2x^2-\dfrac{5}{3}x+\dfrac{27\left(x^3-2x^2-\dfrac{5}{3}x\right)}{\left(3x-2\right)^2+\left(3x-2\right)\sqrt[3]{81x-8}+\sqrt[3]{\left(81x-8\right)^2}}=0\)
\(\Leftrightarrow\left(x^3-2x^2-\dfrac{5}{3}x\right)\left(1+\dfrac{27}{\left(3x-2\right)^2+\left(3x-2\right)\sqrt[3]{81x-8}+\sqrt[3]{\left(81x-8\right)^2}}\right)=0\)
\(\Leftrightarrow x^3-2x^2-\dfrac{5}{3}x=0\)
Ta có x =7
=>x+1=8
\(\Rightarrow\)\(A=x^{15}-8x^{14}+8x^{13}-8x^{12}+.......8x^2+8x-5\)
\(\Rightarrow x^{15}-\left(x+1\right)x^{14}+\left(x+1\right)x^{13}-\left(x+1\right)x^{12}+...\left(x+1\right)x^2\)
\(+\left(x+1\right)x^5\)
\(\Rightarrow x^{15}-x^{15}-x^{14}+x^{14}+x^{13}-x^{13}-x^{12}+...-x^3-x^2+x-5\)
\(\Rightarrow x-5\Leftrightarrow A=7-5=2\Rightarrow A=2\)
Vậy A=2 khi x=7
x=7
=>x+1=8
=> A= x^15 - 8x^14 + 8x^13 - 8x^12 +....- 8x^2 + 8x - 5
=x15-(x+1)x14+(x+1)x13-(x+1)x12+...-(x+1)x2+(x+1)x-5
=x15-x15-x14+x14+x13-x13-x12+...-x3-x2+x2+x-5
=x-5
=>A=7-5=2
Vậy A=2 khi x=7
\(B=x^{15}-8x^{14}+8x^{13}-8x^{12}+...+8x-5\)
\(=x^{15}-\left(x+1\right)x^{14}+\left(x+1\right)x^{13}-\left(x+1\right)x^{12}+...+\left(x+1\right)x-x+2\)
\(=x^{15}-x^{15}-x^{14}+x^{14}+x^{13}-x^{13}-x^{12}+...+x^2+x-x+2\)
\(=2\)
128 * X - 12 *X - 16 * X=5280000
X * ( 128 - 12 - 16) = 5280000
X * 100 = 5280000
X = 5280000:100
X= 52800
\(\Leftrightarrow x\left(128-12-16\right)=200\)
\(\Leftrightarrow x.100=200\)
\(\Leftrightarrow x=2\)
128.x-12.x-16.x=200
=>x.(128-12-16)=200
=>x.100=200
=>x=200:100
=>x=2
Vậy x=2
k cho mình nhé
192
8x[x:12]=128
8 × x : 12 = 128
8 × x = 128 × 12
8 × x = 1536
x = 1536 : 8
x = 192 nha fan conan kb hok tốt