college algebra

Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)

x4 + 27x = 0

  1. 👍
  2. 👎
  3. 👁
  1. x^4 + 27x = 0
    x(x^3+27) = 0
    recall your sum-of-cubes factoring to get
    x(x+3)(x^2-3x+9)
    two real roots, two complex roots

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus 1

    Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = sqrt(x), [0,16]

  2. Trig

    Find all angles θ between 0° and 180° satisfying the given equation. (Enter your answers as a comma-separated list. Round your answers to one decimal place.) Sin θ = 1/4

  3. calculus 1

    Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = 4x3 + x2 + 4x

  4. Pre-Calc

    sin(2θ)=1/2 Find all solutions in the interval [0, 2π). (Enter your answers as a comma-separated list.) k = any integer What I have so far: pi/12 + kpi, 5pi/12 + kpi However, I do not know how to solve for the interval. Please

  1. math

    Find two quadratic equations having the given solutions. (There are many correct answers. Use x for the variable. Enter your answers as a comma-separated list of equations.) 4+5√(5), 4-5√(5)

  2. Calculus

    Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = √x , [0, 25]

  3. pre cal

    Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.) f(x) = 3x + 18

  4. Calculus

    Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.) f(x) = 2x2 − 3x − 20 x =

  1. Calculus 1

    Consider the following. B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local maximum

  2. maths

    Use a graphing utility to approximate the solutions of the equation in the interval [0, 2Ï€). (Round your answers to three decimal places. Enter your answers as a comma-separated list.) 6 sin(x) + 3 cos(x) = 0

  3. Math

    An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) Find the solutions in the interval:

  4. Pre-Calculus

    f(x) = cos(x) on the interval [−2π, 2π] (a) Find the x-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list.) (b) Find the y-intercepts of the graph of y = f(x). (Enter your answers as a

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