xx - 2x × 2 + 68 = 200
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xx - 2x x 2 = 68
x(x - 4) + 68 = 100
x(x - 4) = 32
X x(x - 4) = 8 x (8 - 4)
Vậy x = 8
XX-2X x 2 +68=100
\(x^2-4x+68=100\)
\(X^2-4X-32=0\)
(X-8) x(X+4)=0
X=8 hoặc x=-4
xx - 2x x 2 + 68 = 100
=> x . ( x - 4 ) + 68 = 100
=> x . ( x - 4 ) = 100 - 68
=> x . ( x - 4 ) = 32
Ta có :
32 = 8 . ( 8 - 4 )
=> x . ( x - 4 ) = 8 . ( 8 - 4 )
=> x = 8
Vậy x = 8
Học vui!
\(xx-2x\times2+68=100\)
\(\Leftrightarrow x^2-4x=100-68\)
\(\Leftrightarrow x\left(x-4\right)=32\)
\(\Leftrightarrow x\left(x-4\right)=8\times4\)
\(\Leftrightarrow x=8\)
1) \(2x\left(x-5\right)+\left(x-2\right)\left(x+3\right)=2x^2-10x+x^2+3x-2x-6=3x^2-9x-6\)
2) \(\left(2x-5\right)\left(1-x\right)-\left(x-3\right)\left(-2x\right)=2x-2x^2-5+5x+2x^2-6x=x-5\)
3) \(\left(4x-3\right)\left(4x-3\right)-\left(3x+2\right)\left(3x-2\right)=\left(4x-3\right)^2-9x^2+4=16x^2-24x+9-9x^2+4\)
\(=7x^2-24x+13\)
4) \(\left(2x-1\right)\left(2x+1\right)\left(2x+1\right)-4\left(x^2+1\right)=\left(2x-1\right)[\left(2x+1\right)^2]-4x^2-4\)
\(=\left(2x-1\right)\left(4x^2+4x+4\right)-4x^2-4=8x^3+8x^2+8x-4x^2-4x-4-4x^2-4=8x^3+4x-8\)
5) \(3x\left(2x-8\right)-\left(2-6x\right)\left(5+x\right)=6x^2-24x-10-2x+30x+6x^2=12x^2+4x-10\)
6) \(x\left(3x-18\right)-3\left(x-4\right)\left(x-2\right)+8=3x^2-18x-3x^2+6x+12x-24+8=-16\)
7) \(\left(x+2\right)\left(x^2-2x+4\right)-x^2\left(x-2\right)-2x^2=x^3+8-x^3+2x^2-2x^2=8\)
a) \(\dfrac{1}{1\times3}+\dfrac{1}{3\times5}+\dfrac{1}{5\times7}+...+\dfrac{1}{x\times\left(x+3\right)}=\dfrac{99}{200}\)
Ta có: \(\left(1-\dfrac{1}{3}\right)\times\dfrac{1}{2}+\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\times\dfrac{1}{2}+\left(\dfrac{1}{5}-\dfrac{1}{7}\right)\times\dfrac{1}{2}+...+\left(\dfrac{1}{x}-\dfrac{1}{x+3}\right).\dfrac{1}{2}=\dfrac{99}{200}\)
\(\dfrac{1}{2}\times\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{x}-\dfrac{1}{x+3}\right)=\dfrac{99}{200}\)
\(\dfrac{1}{2}\times\left(1-\dfrac{1}{x+3}\right)=\dfrac{99}{200}\)
\(1-\dfrac{1}{x+3}=\dfrac{99}{200}:\dfrac{1}{2}\)
\(1-\dfrac{1}{x+3}=\dfrac{99}{100}\)
\(\dfrac{1}{x+1}=1-\dfrac{99}{100}\)
\(\dfrac{1}{x+1}=\dfrac{1}{100}\)
\(\Rightarrow x+1=100\)
\(x=100-1\)
\(x=99\)
xx - 2x x 2 + 68 = 100
=> x . ( x - 4 ) + 68 = 100
=> x . ( x - 4 ) = 100 - 68
=> x . ( x - 4 ) = 32
Ta có :
32 = 8 . ( 8 - 4 )
=> x . ( x - 4 ) = 8 . ( 8 - 4 )
=> x = 8
Vậy x = 8
Bạn ơi hình như đề bị làm sao ý!
Nên mình thay 200 thành 100 nhé!
Nếu không đúng thì mình xin lỗi nhé!
Mình sửa 1 chút đề nhé!
\(xx\) \(-\) \(2x\) \(\times\) \(2\) \(+\) \(68\) \(=\) \(100\)
\(x\times\left(x-4\right)+68=100\)
\(x\times\left(x-4\right)=100-68\)
\(x\times\left(x-4\right)=32\)
\(\Rightarrow\) \(32=8\times\left(8-4\right)\)
\(\Rightarrow\) \(x\times\left(x-4\right)=8\times\left(8-4\right)\)
\(\Rightarrow\) \(x=8\)