Determine whether the conjecture is true or false. if false, give a counterexample. given: x2+4=8 conjecture: x=−2

We start with the given equation

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

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

a

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: