Bài 50 trang 23 SGK Toán 8 tập 1

Tìm \(x\), biết:a) \(x(x - 2) + x - 2 = 0\);

b) \(5x(x - 3) - x + 3 = 0\).

Lời giải

a) \(x(x - 2) + x - 2 = 0\)

    \((x - 2)(x + 1) = 0\)

\( \Rightarrow \left[ \matrix{ x - 2 = 0 \hfill \cr x + 1 = 0 \hfill \cr} \right. \Rightarrow \left[ \matrix{ x = 2 \hfill \cr x = - 1 \hfill \cr} \right.\)

Vậy \(x = -1; x = 2.\)

b) \(5x(x - 3) - x + 3 = 0\)

    \(5x(x - 3) - (x - 3) = 0\)

    \((x - 3)(5x - 1) = 0\)

\( \Rightarrow \left[ \matrix{
x - 3 = 0 \hfill \cr
5x - 1 = 0 \hfill \cr} \right. \Rightarrow \left[ \matrix{
x = 3 \hfill \cr
x = \dfrac{1}{5} \hfill \cr} \right.\)

Vậy \(x = \dfrac{1}{5}; x = 3.\)


Quote Of The Day

“Two things are infinite: the universe and human stupidity; and I'm not sure about the universe.”