itzjusthaley
itzjusthaley itzjusthaley
  • 03-05-2021
  • Mathematics
contestada

Select the two values of x that are roots of this equation.
x2 + 3x - 3 = 0

Select the two values of x that are roots of this equation x2 3x 3 0 class=

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 04-05-2021

Answer:

        A. [tex]\bold {x=\dfrac{-3+\sqrt{21}}{2}}[/tex] and  D.   [tex]\bold {x=\dfrac{-3-\sqrt{21}}{2}}[/tex]

Step-by-step explanation:

[tex]x^2 + 3x - 3 = 0\\a=1\,,\ \ b=3\,,\ \ c=-3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-3)}}{2\cdot1}=\dfrac{-3\pm\sqrt{9+12}}{2}=\dfrac{-3\pm\sqrt{21}}{2}[/tex]

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