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. 👎

Respond to this Question

First Name

Your Response

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

  1. Algebra 2(quadratic)

    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

  1. Math help please

    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."

You can view more similar questions or ask a new question.