Question

Tìm x

(2x-3).(2x-3)=4x-7

Answer 1

\(\left(2x-3\right)\left(2x-3\right)=4x-7\)

\(\Leftrightarrow4x^2-12x+9=4x-7\)

\(\Leftrightarrow4x^2-16x+16=0\)

\(\Leftrightarrow4\left(x^2-4x+4\right)=0\)

\(\Leftrightarrow4\left(x-2\right)^2=0\)

\(\Leftrightarrow x-2=0\Leftrightarrow x=2\)

Answer 2

(2x-3).(2x-3)=4x-7

<=> 4x²-9=4x-7<=>4x²-4x-2=0

<=>\(x=\frac{1\pm\sqrt{3}}{2}\)

vậy có 2 gtri x như trên