Question

I really need help for this question!

Answer 1

why does the equation -2√(x+3)+2 =10 have an extraneous solution but the equation 2√(x+4) =4 does not

Answer 2

Because that thing before the square root is negative in the first case

Answer 3

I already knew that, but I am having problems figuring out why it makes its solution extraneous

Answer 4

Because if you continue it'd be \(\sqrt{x+3}=-4\)

Answer 5

Square root of a number can't be negative

Answer 6

but when you square both sides of the equation x + 3 = 16

Answer 7

Therefore it'll produce an extraneous solution

Answer 8

Because the square of a negative number is positive

Answer 9

I get it now, thank you for your help

Answer 10

no problem