# Math

posted by .

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)

• Math -

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

• Math(I see that now) -

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

• Math -

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.

## Similar Questions

1. ### algebra

Determine the value(s) of k for which x^2+(k-2)x-2k=0 has equal and real roots. a x^2 + bx + c = 0 has two different roots if the discriminant D defined as: D = b^2 - 4 a c does not equal zero. If D = 0 then there is one root. That …
2. ### Algebra II

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

"Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the imaginary …
4. ### Alg II

I'm working with finding roots of polynomial equations with degrees of 3 or higher. I have the equation r(x)=x^4-6x^3+12x^2=6x-13 I used a graphing calculator to find the real roots of 1,-1 Then I did synthetic using -1, and I ended …
5. ### Alg II

I'm working with finding roots of polynomial equations with degrees of 3 or higher. I have the equation r(x)=x^4-6x^3+12x^2=6x-13 I used a graphing calculator to find the real roots of 1,-1 Then I did synthetic using -1, and I ended …
6. ### mathematics

Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)
7. ### maths2

Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)
8. ### College math

Which statement describes the quadratic equation 6x^2-4x+1=0,correctly?
9. ### Pre-Calc/Trig...

Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots
10. ### algebra

if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have?

More Similar Questions

Post a New Question