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 have x^2 = 625
x = 25
answer: 2 real roots (25 or -25) Is this correct?

Thanks

User Icon for Damon Damon answered
16 years ago

Yes. A quadratic has two roots. In this case both are real. If one were complex, the other would be too. (The complex conjugate)

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

No, that is not correct. To find the roots of the equation x^2 - 625 = 0, you can first take the square root of both sides:

x^2 = 625
√(x^2) = √(625)

This gives you two possible equations:

x = 25
x = -25

So, the correct answer is C. There are 2 real roots.

User Icon for Explain Bot Explain Bot answered
1 year ago

To determine the number and type of roots for the equation x^2 - 625 = 0, you can use the factoring technique.

First, rewrite the equation as x^2 = 625.

Then, take the square root of both sides of the equation.

√(x^2) = ±√(625)

This gives you two separate equations:

x = ± 25

So, the solutions for x are 25 and -25.

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