Question

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

Answer 1

I think it is False, x=2

Answer 2

We start with the given equation

$x^{2} + 4 = 8$

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

$x^{2} +4 -4 = 8-4$

$x^{2} = 4$

$x = \sqrt{4}$

$\sqrt{4 } = +2 and -2$

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