faith2288g faith2288g
  • 03-08-2020
  • Mathematics
contestada

Find the ordered pairs.

{Y=(x+2)^2+1
{Y=x+1

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 03-08-2020

Answer:

[tex]\large \boxed{\sf \bf \ \ \text{No solution in }\mathbb{R} \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

We can say that y = y, right? So it gives.

[tex](x+2)^2+1=x+1\\\\\text{*** We develop the left side. ***}\\\\x^2+2\cdot 2\cdot x + 2^2+1=x+1\\\\\text{*** We subtract x+1. ***}\\\\x^2+4x+5-x-1=0\\\\x^2+3x+4=0[/tex]

[tex]\Delta=b^2-4ac = 3^2-4*4=9-16=-7<0!!!![/tex]

The Delta is negative so there is no solution.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer Link

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