xx - 2x x 2 + 68 = 100
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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
x(x - 4) + 68 = 100
x(x - 4) = 32
X x(x - 4) = 8 x (8 - 4)
Vậy x = 8
\(xx-2x\times2+68=100\)
\(\Leftrightarrow x^2-4x=100-68\)
\(\Leftrightarrow x\left(x-4\right)=32\)
\(\Leftrightarrow x\left(x-4\right)=8\times4\)
\(\Leftrightarrow x=8\)
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) \(\left(x+2\right)\left(x^2-2x+4\right)-x^2\left(x-2\right)-2x^2=x^3+8-x^3+2x^2-2x^2=8\)
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!