Question

(8-5x)(x+2)+4(x-2)(x+1)=(x-2)(x+2)

Tìm x

Ghi lời giải hộ mik nha <3

Answer 1

\(\left(8-5x\right)\left(x+2\right)+4\left(x-2\right)\left(x+1\right)=\left(x-2\right)\left(x+2\right)\)

\(\Rightarrow8x+16-5x^2-10x+4x^2+4x-8x-8=x^2-4\)

\(\Rightarrow-6x-x^2-8-x^2+4=0\)

\(\Rightarrow-6x-2x^2-4=0\)

\(\Rightarrow-2\left(3x+x^2+2\right)=0\)

\(\Rightarrow\left(x+1,5\right)^2-0,25=0\)

\(\Rightarrow\left(x+2\right)\left(x+1\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x+2=0\\x+1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-2\\x=-1\end{cases}}}\)