Question

Tìm x

a,\(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x-1\right)\left(x+1\right)+3x=2\)

b,\(2x^3-50x=0\)

c,\(5x^2-4\left(x^2-2x+1\right)-5=0\)

Answer 1

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

\(\Leftrightarrow x^3+8-x\left(x^2-1\right)+3x-2=0\)

\(\Leftrightarrow x^3-x^3+x+3x+6=0\)

\(\Leftrightarrow4x+6=0\)

\(\Leftrightarrow x=\frac{-3}{2}\)

Vậy....

Answer 2

b) \(2x^3-50x=0\)

\(\Leftrightarrow2x\left(x^2-25\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}2x=0\\x^2=25\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=\pm5\end{cases}}\)

Vậy....

Answer 3

c) \(5x^2-4\left(x^2-2x+1\right)-5=0\)

\(\Leftrightarrow5x^2-4x^2+8x-4-5=0\)

\(\Leftrightarrow x^2+8x-9=0\)

\(\Leftrightarrow x^2+9x-x-9=0\)

\(\Leftrightarrow\left(x+9\right)\left(x-1\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=-9\\x=1\end{cases}}\)

Vậy....