4x ^ 3 - 16x ^ 2 + 19x - 6 = 0 tìm x
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Bài 1:
a: \(11x^2-6xy-5y^2\)
\(=11x^2-11xy+5xy-5y^2\)
\(=11x\left(x-y\right)+5y\left(x-y\right)\)
\(=\left(x-y\right)\left(11x+5y\right)\)
b: \(4x^3-16x^2+19x-6\)
\(=4x^3-8x^2-8x^2+16x+3x-6\)
\(=\left(x-2\right)\left(4x^2-8x+3\right)\)
\(=\left(x-2\right)\left(2x-1\right)\left(2x-3\right)\)
Bài 1:
a: \(11x^2-6xy-5y^2\)
\(=11x^2-11xy+5xy-5y^2\)
\(=11x\left(x-y\right)+5y\left(x-y\right)\)
\(=\left(x-y\right)\left(11x+5y\right)\)
b: \(4x^3-16x^2+19x-6\)
\(=4x^3-8x^2-8x^2+16x+3x-6\)
\(=\left(x-2\right)\left(4x^2-8x+3\right)\)
\(=\left(x-2\right)\left(2x-3\right)\left(2x-1\right)\)
\(a,=11x^2-11xy+5xy-5y^2=\left(11x+5y\right)\left(x-y\right)\\ b,=4x^3-8x^2-8x^2+16x+3x-6\\ =\left(x-2\right)\left(4x^2-8x+3\right)\\ =\left(x-2\right)\left(4x^2-2x-6x+3\right)\\ =\left(x-2\right)\left(2x-1\right)\left(2x-3\right)\)
Bài 1:
a: \(11x^2-6xy-5y^2\)
\(=11x^2-11xy+5xy-5y^2\)
\(=11x\left(x-y\right)+5y\left(x-y\right)\)
\(=\left(x-y\right)\left(11x+5y\right)\)
b: \(4x^3-16x^2+19x-6\)
\(=4x^3-8x^2-8x^2+16x+3x-6\)
\(=\left(x-2\right)\left(4x^2-8x+3\right)\)
\(=\left(x-2\right)\left(2x-1\right)\left(2x-3\right)\)
e: ta có: \(4x^2+4x-6=2\)
\(\Leftrightarrow4x^2+4x-8=0\)
\(\Leftrightarrow\left(x+2\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=1\end{matrix}\right.\)
f: Ta có: \(2x^2+7x+3=0\)
\(\Leftrightarrow\left(x+3\right)\left(2x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-\dfrac{1}{2}\end{matrix}\right.\)
a, 5x - 7(3 - x) = 3
=> 5x - 21 + 7x = 3
=> 12x = 24
=> x = 2
b, 4x2 + 3x = 0
=> x(4x + 3) = 0
=> \(\orbr{\begin{cases}x=0\\4x+3=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=0\\x=\frac{-3}{4}\end{cases}}\)
c, (x + 1)2 - 4x2 =0
=> (x + 1)2 - (2x)2 = 0
=> (x + 1 - 2x)(x + 1 + 2x) = 0
=> (1 - x)(3x+ 1) = 0
=> \(\orbr{\begin{cases}1-x=0\\3x+1=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=1\\x=\frac{-1}{3}\end{cases}}\)
d, x3 - 19x - 30 = 0
=> x3 - 5x2 + 5x2 - 25x + 6x - 30 = 0
=> x2(x - 5) + 5x(x - 5) + 6(x - 5) = 0
=> (x2 + 5x + 6)(x - 5) = 0
=> (x2 + 2x + 3x + 6)(x - 5) = 0
=> (x + 2)(x + 3)(x - 5) = 0
=> x + 2 = 0 hoặc x + 3 = 0 hoặc x - 5 = 0
=> x = -2 hoặc x = -3 hoặc x = 5
=> x thuộc {-2; -3; 5}
x= 1/2 x=2 x=3/2
\(4x^3-16x^2+19x-6=0\)
\(\Leftrightarrow4x^3-8x^2-8x^2+16x+3x-6=0\)
\(\Leftrightarrow\left(x-2\right)\left(4x^2-8x+3\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(2x-3\right)\left(2x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{3}{2}\\x=\dfrac{1}{2}\end{matrix}\right.\)