WonderWoman82
WonderWoman82 WonderWoman82
  • 19-07-2020
  • Mathematics
contestada

Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary. −6x^2+1=−2x

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 19-07-2020

Answer:

Step-by-step explanation:

Hello,

We just need to apply the formula using the discriminant

[tex]-6x^2-2x+1=0\\\\\Delta = b^2-4ac = (-2)^2-*4(-6)*1=4+24=28[/tex]

so we have two distinct real solutions

[tex]x_1=\dfrac{2+\sqrt{28}}{2*(-6)}=\dfrac{2+2\sqrt{7}}{2*(-6)}=-\dfrac{\sqrt{7}+1}{6} \\\\ and \\\\x_2=\dfrac{\sqrt{7}-1}{6}[/tex]

Hope this helps

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