\(x=49\Leftrightarrow50=x+1\)

Tính A = x7 - 50x6 + 50x5 - 50x4 + 50x3 - 50x2 +50x +100 với x = 49

\(\Rightarrow A=x^7-\left(x+1\right)x^6+\left(x+1\right)x^5-\left(x+1\right)x^4+\left(x+1\right)x^3-\left(x+1\right)x^2+\left(x+1\right)x+100\)

\(=x^7-\left(x^7+x^6\right)+\left(x^6+x^5\right)-\left(x^5+x^4\right)+...+\left(x^2+1\right)+100\)

\(=x+100=149\)

 \(x-\left(\frac{50x}{100}+\frac{25x}{100}\right)=\frac{45}{4}\)

      \(x-\left(\frac{50x+25x}{100}\right)=\frac{45}{4}\)

                    \(x-\frac{75x}{100}=\frac{45}{4}\)

               \(x-x\times\frac{3}{4}=\frac{45}{4}\)

         \(x\times\left(1-\frac{3}{4}\right)=\frac{45}{4}\)

                       \(x\times\frac{1}{4}=\frac{45}{4}\)

                                 \(x=\frac{45}{4}\div\frac{1}{4}\)

                                 \(x=45\)

\(x-\left(\frac{50x}{100}+\frac{25x}{200}\right)=\frac{45}{4}\)

\(x-\left(\frac{100x}{200}+\frac{25x}{200}\right)=\frac{45}{4}\)

\(x-\left(\frac{100x+25x}{200}\right)=\frac{45}{4}\)

\(x-\frac{125x}{200}=\frac{45}{4}\)

\(x-x\frac{5}{8}=\frac{45}{4}\)

\(x\left(1-\frac{5}{8}\right)=\frac{45}{4}\)

\(x.\frac{3}{8}=\frac{45}{4}\)

\(x\)=\(\frac{45}{4}:\frac{3}{8}\)

\(x\)=\(30\)

ko biết

Cố đợi sang năm nhe

\(x-\left(\frac{50x}{100}+\frac{25x}{200}\right)=\frac{45}{4}\)

\(x-\left(\frac{1x}{2}+\frac{1x}{8}\right)=\frac{45}{4}\)

\(x-\left(\frac{4x}{8}+\frac{1x}{8}\right)=\frac{45}{4}\)

\(x-\frac{5x}{8}=\frac{45}{4}\)

\(\frac{8x}{8}-\frac{5x}{8}=\frac{45}{4}\)

\(\frac{3x}{8}=\frac{45}{4}\Leftrightarrow x=\frac{45}{4}:\frac{3}{8}=30\)

Vậy \(x=30\)

ngu tự nghĩ đi

cái này tớ chưa làm nhưng hãy k cho tớ nhé

làm vầy đúng không nhỉ?
A=(x+2) + (2x+4) + (3x+6) + (4x+8)+...+ (50x+100) 
<=>(x+2x+3x+4x+...+50x)+(2+4+6+8+...+100)= -2550
<=>(1+50).25x+(2+100).25= -2550
<=>51.25x+102.25= -2550
<=>1275x+2550= -2550
<=>1275x          = -2550-2550
<=>1275x          = -5100
<=>        x          = -4

\(C=16x^2-8x+2024\)

\(\Rightarrow C=16x^2-8x+1+2023\)

\(\Rightarrow C=\left(4x-1\right)^2+2023\ge2023\left(\left(4x-1\right)^2\ge0\right)\)

\(\Rightarrow Min\left(C\right)=2023\)

\(D=-25x^2+50x-2023\)

\(\Rightarrow D=-\left(25x^2-50x+25\right)-1998\)

\(\Rightarrow D=-\left(5x-5\right)^2-1998\le1998\left(-\left(5x-5\right)^2\le0\right)\)

\(\Rightarrow Max\left(D\right)=1998\)

\(B=-x^2+20x+100=-\left(x^2-20x+100\right)+200=-\left(x-10\right)^2+200\le200\left(-\left(x-10\right)^2\le0\right)\)

\(\Rightarrow Max\left(B\right)=200\)

\(E=\left(2x-1\right)^2-\left(3x+2\right)\left(x-5\right)\)

\(\Rightarrow E=4x^2-4x+1-\left(3x^2-13x-10\right)\)

\(\Rightarrow E=4x^2-4x+1-3x^2+13x+10\)

\(\Rightarrow E=x^2+9x+11=x^2+9x+\dfrac{81}{4}-\dfrac{81}{4}+11\)

\(\Rightarrow E=\left(x+\dfrac{9}{2}\right)^2-\dfrac{37}{4}\ge-\dfrac{37}{4}\left(\left(x+\dfrac{9}{2}\right)^2\ge0\right)\)

\(\Rightarrow Min\left(E\right)=-\dfrac{37}{4}\)

\(F=\left(3x-5\right)^2-\left(3x+2\right)\left(4x-1\right)\)

\(\Rightarrow F=9x^2-30x+25-\left(12x^2+3x-2\right)\)

\(\Rightarrow F=-3x^2-33x+27=-3\left(x^2-10x+9\right)\)

\(\Rightarrow F=-3\left(x^2-10x+25\right)+48=-3\left(x-5\right)^2+48\le48\left(-3\left(x-5\right)^2\le0\right)\)

\(\Rightarrow Max\left(F\right)=48\)

\(x-\left(\dfrac{50x}{100}+\dfrac{25x}{100}\right)=11\dfrac{1}{4}\)

\(x-\dfrac{3x}{4}=\dfrac{45}{4}\)

\(\dfrac{x}{4}=\dfrac{45}{4}\Rightarrow x=45\)

Ta có: \(x-\left(\dfrac{50x}{100}+\dfrac{25x}{200}\right)=11\dfrac{1}{4}\)

\(\Leftrightarrow x-\dfrac{1}{2}x-\dfrac{1}{8}x=\dfrac{45}{4}\)

\(\Leftrightarrow x\cdot\dfrac{3}{8}=\dfrac{45}{4}\)

hay x=30

Thay x= -1 ta dc:

  1 + 2 + 3 + 4 +....+50=1275 

a) \(2^{x+2}-2^2=96\)

 <=> \(2^x.2^2-2^x=96\)

 <=> \(2^x\left(4-1\right)=96\)

<=> \(3.2^x=96\)

<=> \(2^x=32\)

<=> \(2^x=2^5\)

<=> x = 5 

b, \(x-\left(\frac{50x}{100}+\frac{25x}{200}\right)=11\frac{1}{4}\)

\(\Rightarrow x-\left(\frac{1x}{2}+\frac{1x}{8}\right)=\frac{45}{4}\)

\(\Rightarrow x-\left(\frac{4x}{8}+\frac{1x}{8}\right)=\frac{45}{4}\)

\(\Rightarrow x-\frac{5x}{8}=\frac{45}{4}\)

\(\Rightarrow\frac{8x}{8}-\frac{5x}{8}=\frac{45}{4}\)

\(\Rightarrow\frac{3x}{8}=\frac{45}{4}\Rightarrow x=\frac{45}{4}\div\frac{3}{8}=30\)

Vậy x = 30