# Math

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)

1. 👍
2. 👎
3. 👁
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

1. 👍
2. 👎
2. I made it harder than it was thanks. But I just thought that x was imaginary

1. 👍
2. 👎
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.

1. 👍
2. 👎

## Similar Questions

1. ### math-calculus

which of following statements is false 1. The absolute value of a real number is the principal square root of the square of the number. 2. The absolute value of a real number is the distance of the number from zero on a number

2. ### Alegbra 2

Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with

3. ### algebra

if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots

4. ### math

For what value of k does the equation x2 + kx + 9have: Two distinct real roots One real root No real root

Use the value of the discriminant to determine the number and type of roots for the equation: (x^2+20=12x-16) 1 real, irrational 2 real, rational no real 1 real, rational

2. ### Math

Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is -136, two complex roots

3. ### Algebra

If a quadratic equation with real coefficients has a discriminant of 225, the what type of roots does it have?

4. ### Algebra 2

1. The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b? 2. Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in

In this problem you will use Rolle's theorem to determine whether it is possible for the function f(x) = 8 x^{7} + 7 x - 13 to have two or more real roots (or, equivalently, whether the graph of y = f(x) crosses the x-axis two or

2. ### Algebra

Solve each equation by finding square roots. If the equation has no real-number solution, write no solution. 4g^2=25 In the equation when i divide 25 by 4 why do i keep it as 25/4 threw out solving the rest of the problem? why not

3. ### MATH

1. Which of these numbers can be classified as both real and rational? 1/2 -1.016879413894 Square root: 5 0.89089908999 2.Which is both a real number and an integer? Square root 7 0.15 -15 1/3 3. What is an example of an

4. ### Math

1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point) Rosa: "Use square root 9 and square root 25 to estimate." Roberto: "I will use square root 4 and square root 9."