hatchert771 hatchert771
  • 01-07-2021
  • Mathematics
contestada

Consider the equations y = VI and y
32 – 1.
The system of equations is equal at approximately

Consider the equations y VI and y 32 1 The system of equations is equal at approximately class=

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 06-07-2021

Answer:

[tex]x = 2.62[/tex] and [tex]x = 0.381[/tex]

Step-by-step explanation:

[tex]y = \sqrt x\\[/tex]

[tex]y = x - 1[/tex]

Required

y, when they are equal.

To do this, we set them to another

[tex]\sqrt{x} = x - 1[/tex]

Square both sides

[tex]x = (x - 1)^2[/tex]

Expand

[tex]x = x^2 - 2x + 1[/tex]

Collect like terms

[tex]x^2 -x-2x+1 = 0[/tex]

[tex]x^2 - 3x + 1 = 0[/tex]

Using quadratic formula

[tex]x = 2.62[/tex] and [tex]x = 0.381[/tex]

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