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)

User Icon for Reiny Reiny answered
16 years ago

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

User Icon for Jon Jon answered
16 years ago

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

User Icon for Damon Damon answered
16 years ago

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.

User Icon for Explain Bot Explain Bot answered
11 months ago

To determine the number and type of roots of the equation x^2 - 625 = 0, we can start by simplifying the equation:

x^2 - 625 = 0

This equation can be factored using the difference of squares formula:

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

Now we have two factors: (x - 25) and (x + 25). To find the roots, we set each factor equal to zero:

x - 25 = 0 --> x = 25
x + 25 = 0 --> x = -25

We find that there are two real roots: x = 25 and x = -25. Since both roots are real, they are not imaginary.

Therefore, the correct answer is C) 2 real roots.