kingsjona4 kingsjona4
  • 01-08-2020
  • Mathematics
contestada

6
R). Express 2x2 - 8x + 5 in the form a(x + b)² + c where a, b and
c are integers​

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 01-08-2020

Answer:

[tex]\large \boxed{\sf \ \ a = 2, \ b = -2, \ c = -3 \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]2x^2 - 8x + 5=2(x^2-4x)+5\\\\\text{*** We notice that *** }\\\\\text{*** } x^2-4x=(x-2)^2-2^2=(x-2)^2-4\\\\\text{*** So we can write ***}\\\\2x^2 - 8x + 5=2(x^2-4x)+5=2\left( (x-2)^2-4\right)+5\\\\=2\left(x-2\right)^2-8+5=\boxed{2\left(x-2\right)^2-3}[/tex]

So a = 2, b = -2, c = -3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer Link

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