Ответ :

3(2x+3)/6 - x²+6x/6 = 6/6

6x+9-x²-6x-6 = 0

-x²+3 = 0

x² = 3

x = ±✓3

[tex]\frac{2x+3}{2}-\frac{x^{2}+6x }{6}=1\\3(2x+3)-(x^{2}+6x)=6\\6x+9-x^{2} -6x=6\\9-x^{2}=6\\x^{2}=6-9\\-x^{2}=-3\\x^{2}=3\\[/tex]

x=±[tex]\sqrt{3}[/tex]

[tex]x=-\sqrt{3}\\x=\sqrt{3}[/tex]

x₁=[tex]-\sqrt{3}[/tex], x₂=[tex]\sqrt{3}[/tex]

Альтернативная форма:

x₁≈-1,73205, x₂≈1,73205