Question

Giải phương trình

Answer 1

`0,5(x-3)-(3x-9)(1,5x-1)=0`

`<=> 0,5(x-3)-3(x-3)(1,5x-1)=0`

`<=> (x-3)(0,5-4,5x+3)=0`

`<=> (x-3)(-4,5x+3,5)=0`

\(< =>\left[{}\begin{matrix}x-3=0\\-4,5x+3,5=0\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x=3\\x=\dfrac{7}{9}\end{matrix}\right.\)

Answer 2

\(0,5\left(x-3\right)-\left(3x-9\right)\left(1,5x-1\right)=0\)

\(\Leftrightarrow0,5x-1,5-\left(4,5x^2-3x-13,5x+9=0\right)\)

\(\Leftrightarrow0,5x-1,5-4,5x^2+3x+13,5x-9=0\)

\(\Leftrightarrow-4,5x^2+17x-10,5=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}x_1=3\\x_2=\dfrac{7}{9}\end{matrix}\right.\)

Answer 3