subramanianakash51
subramanianakash51 subramanianakash51
  • 10-08-2020
  • Mathematics
contestada

determine wheather the quadratic equation x square plus5xplus5 equal to zero have real roots and if so find the roots​

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 10-08-2020

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x^2+5x+5=0\\\\\Delta=b^2-4ac=25-20=5[/tex]

The discriminant is positive so there are two distinct real solutions which are:

[tex]x_1=\boxed{\dfrac{-5-\sqrt{5}}{2}}\\\\x_1=\boxed{\dfrac{-5+\sqrt{5}}{2}}[/tex]

Thank you

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