makalamoo23 makalamoo23
  • 18-10-2020
  • Mathematics
contestada

The roots of the equation x^2+bx+c =0 are -4 and 2. Find c using the quadratic formula

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 18-10-2020

Answer:

Step-by-step explanation:

Hello,

c= -4 * 2 = -8 as

[tex]x^2+bx+c=(x+4)(x-2)=x^2+2x-8[/tex]

with the quadratic formula

[tex]x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}[/tex]

And

[tex]x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}[/tex]

thanks

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