zaylinleyva2000 zaylinleyva2000
  • 15-07-2019
  • Mathematics
contestada

what are solutions to the quadratic equation 2x^2+6x-10=x^2+6

Respuesta :

gmany
gmany gmany
  • 16-07-2019

Answer:

x = -2 or x = 8

Step-by-step explanation:

[tex]2x^2+6x-10=x^2+6\qquad\text{subtract}\ x^2\ \text{and 6 from both sides}\\\\x^2+6x-16=0\\\\x^2+2x-8x-16=0\\\\x(x+2)-8(x+2)=0\\\\(x+2)(x-8)=0\iff x+2=0\ \vee\ x-8=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\x=-2\\\\x-8=0\qquad\text{add 8 to both sides}\\x=8[/tex]

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Jrdlines Jrdlines
  • 22-10-2020

Answer:

2 and -8

Explanation is Apex

                           

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