thực hiện phép tính
a.(-3x3+7x2-17x+10):(3x-1)
b.(x2-2x+1):(3x-1)
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\(\left(x+2\right)^2=x^2\)
\(\Rightarrow x^2+4x+4=x^2\)
\(\Rightarrow x^2+4x+4-x^2=0\)
\(\Rightarrow4x+4=0\)
\(\Rightarrow4x=\left(-4\right)\)
\(\Rightarrow x=\left(-1\right)\)
\(\Rightarrow x\in\left\{-1\right\}\)
2x^3-5x^2-x+1 2x+1 x^2-3x+1 2x^3+x^2 - -6x^2-x+1 -6x^2-3x - 2x+1 2x+1 - 0
Ta có: x2 + xy + 5 - 6x - y = (x2 - x) + (xy - y) + (5 - 5x)
= x(x - 1) + y(x - 1) - 5(x - 1)
= 9x + y - 5)(x - 1)
https://olm.vn/hoi-dap/detail/245049015319.html?pos=572115847211
\(B=2x^2-5x+3\)
\(=2\left(x^2-\frac{5}{2}x+\frac{3}{2}\right)\)
\(=2\left(x^2-\frac{5}{2}x+\frac{25}{16}-\frac{1}{16}\right)\)
\(=2\left[\left(x-\frac{5}{4}\right)^2-\frac{1}{16}\right]\)
\(=2\left[\left(x-\frac{5}{4}\right)^2\right]-\frac{1}{32}\ge\frac{-1}{32}\)
\(B=2x^2-5x+3\)
\(=2\left(x^2-\frac{5}{2}x+\frac{3}{2}\right)\)
\(=2\left(x^2-\frac{5}{4}\cdot2x+\left(\frac{5}{4}\right)^2-\left(\frac{5}{4}\right)^2+\frac{3}{2}\right)\)
\(=2\left[\left(x-\frac{5}{4}\right)^2-\frac{25}{16}+\frac{3}{2}\right]\)
\(=2\left[\left(x-\frac{5}{4}\right)^2-\frac{1}{16}\right]\)
\(=2\left(x-\frac{5}{4}\right)^2-\frac{1}{8}\)
có\(2\left(x-\frac{5}{4}\right)^2\ge0\)
\(\Rightarrow\left(x-\frac{5}{4}\right)^2-\frac{1}{8}\ge-\frac{1}{8}\)
\(\Rightarrow GTNNB=-\frac{1}{8}\)
với \(\left(x-\frac{5}{4}\right)^2=0;x=\frac{5}{4}\)