\(2\left(3x+5\right)\sqrt{x^2+9}=3x^2+2x+30\)
\(\Leftrightarrow\sqrt{x^2+9}=\dfrac{3x^2+2x+30}{2\left(3x+5\right)}\)
\(\Leftrightarrow\sqrt{x^2+9}-3=\dfrac{3x^2+2x+30}{2\left(3x+5\right)}-3\)
\(\Leftrightarrow\dfrac{x^2+9-9}{\sqrt{x^2+9}+3}=\dfrac{3x^2-16x}{6x+10}\)
\(\Leftrightarrow\dfrac{x^2}{\sqrt{x^2+9}+3}-\dfrac{x\left(3x-16\right)}{6x+10}=0\)
\(\Leftrightarrow x\left(\dfrac{x}{\sqrt{x^2+9}+3}-\dfrac{3x-16}{6x+10}\right)=0\)
\(\Rightarrow x=0\)
Đúng 0
Bình luận (0)
