Rozwiąż równanie.a) 9x²+6x+1=0. b) x²+x+¼=0 ​



Odpowiedź :

a)

[tex]9x^2+6x+1=0\\(3x+1)^2=0\\3x+1=0\\x=-\frac{1}{3}[/tex]

b)

[tex]x^2+x+\frac{1}{4}=0\\(x+\frac{1}{2})^2=0\\x+\frac{1}{2}=0\\x=-\frac{1}{2}[/tex]

pozdrawiam

a)

[tex]9x^{2}+6x+1 = 0\\\\(3x+1)^{2} = 0\\\\3x+1 = 0\\\\3x = -1 \ \ /:3\\\\\boxed{x_{o} = -\frac{1}{3}}[/tex]

b)

[tex]x^{2}+x+\frac{1}{4} = 0\\\\(x+\frac{1}{2})^{2} = 0\\\\x+\frac{1}{2} = 0\\\\\boxed{x_{o} = -\frac{1}{2}}[/tex]