Question

Which describes the number and type of roots of the equation x^2-625=0?

A)1 real root, 1 imaginary root
B)2 real roots, 2 imaginary roots
C)2 real roots
D)4 real roots
I went with A

sqrt x^2= x (which would be the imaginary) and sqrt 625= 25 (the real)

Answer 1

How did you get that answer???

This is a straightforward difference of squares setup

(x+25)(x-25) = 0

so x = ± 25

2 real roots, so C

Answer 2

I made it harder than it was thanks. But I just thought that x was imaginary

Answer 3

By the way, if you get one complex or imaginary root, you get two. They come in pairs, like male and female twins. One has +imaginary number, the other has -the same imaginary number. They are called complex conjugates. a + b i and a - b i and a can be zero.