Respuesta :

[tex] \frac{-(-2)+- \sqrt{(-2)^2-4*2*(-1)} }{2*2} = \frac{2+- \sqrt{12} }{4} [/tex]
[tex]x1= \frac{2+ \sqrt{12} }{4}= 1,37 [/tex]
[tex]x2= \frac{2- \sqrt{12} }{4}= -0,37 [/tex]
apologiabiology
for 0=ax²+bx+c

quadratic formula can be used to solve for x like this
[tex]x= \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]
given
2x²-2x=1
minus 1 both sides
2x²-2x-1=0
a=1
b=-2
c=-1



[tex]x= \frac{-(-2)+/- \sqrt{(-2)^2-4(2)(-1)} }{2(2)} [/tex]
[tex]x= \frac{2+/- \sqrt{4+8} }{4} [/tex]
[tex]x= \frac{2+/- \sqrt{12} }{4} [/tex]
[tex]x= \frac{2+/- (\sqrt{4})(\sqrt{3}) }{4} [/tex]
[tex]x= \frac{2+/- (2)(\sqrt{3}) }{4} [/tex]
[tex]x= \frac{2+/- 2\sqrt{3} }{4} [/tex]
[tex]x= \frac{1+/- \sqrt{3} }{2} [/tex]

[tex]x= \frac{1+ \sqrt{3} }{2} [/tex] or [tex]x= \frac{1- \sqrt{3} }{2} [/tex]

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