Question

trả lời hộ mình

đề bài giải pt

a) x(1-2x)-2= (2x-3)(1-x)
b) 2x(x - 2) + 5x - 10= 0

Answer 1

\(a,x\left(1-2x\right)-2=\left(2x-3\right)\left(1-x\right)\\ \Leftrightarrow x-2x^2-2=2x-3-2x^2+3x\\ \Leftrightarrow2x-3-2x^2+3x-x+2x^2+2=0\)

\(\Leftrightarrow4x-1=0\\ \Leftrightarrow x=\dfrac{1}{4}\)

\(b,2x\left(x-2\right)+5x-10=0\\ \Leftrightarrow2x\left(x-2\right)+5\left(x-2\right)=0\\ \Leftrightarrow\left(x-2\right)\left(2x+5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{5}{2}\end{matrix}\right.\)