skilarcullen
skilarcullen skilarcullen
  • 13-06-2018
  • Mathematics
contestada

Determine whether the conjecture is true or false. If false, give a counterexample.

Given: x2+4=8
Conjecture: x=−2

Respuesta :

catyowfiy9
catyowfiy9 catyowfiy9
  • 13-06-2018
I think it is False, x=2

Answer Link
ariston ariston
  • 29-08-2018

We start with the given equation

[tex] x^{2} + 4 = 8 [/tex]

Now, we solve the equation, we subtract 4 on either side,

[tex] x^{2} +4 -4 = 8-4 [/tex]

[tex] x^{2} = 4 [/tex]

[tex] x = \sqrt{4} [/tex]

[tex] \sqrt{4 } = +2 and -2 [/tex]

x = +2 or -2

So, x= +2 and x =-2

Since the given conjuncture says X=-2, we can conclude that the given conjuncture is TRUE

Answer Link

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