math

solve the equation. chech for extraneous solutions.
how do i do this.
1.x1/4=2
2.x2/3=16
3.x1/2=8

  1. 👍
  2. 👎
  3. 👁
  1. Use the rules of exponents, for example:
    xa+b=xa+xb
    xa*b=(xa)^b

    x1/4=2
    raise to the fourth power on each side:
    (x1/4)^4=2^4
    x(1/4)*4=16
    x=16

    However, note that since 2^4=16, (-2)^4=16, the roots to the equation appear to be 2,-2.

    Since we have squared both sides of the equation, twice, we need to check for extraneous roots (that may have been introduced because of squaring) by substituting the possible answers into the original equation.

    We find that -2 is not a correct answer, thus an extraneous root.

    The answer is therefore 2.

    I will leave you to tackle the remaining questions.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. ALGEBRA CHECK ANSWERS

    Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution ***

  2. Math check please

    1. Solve the system of equations y=2x^2-3 y=3x-1 a)no solution b)(-1/2,5),(2,-5/2) c)(-1/2,-5/2),(2,5)**** d)(1/2,5/2),(2,5) 2. How many real number solutions are there to the equation 0=-3x^2+x-4? a)0 ***** b)1 c)2 d)3 3.solve

  3. Math

    Solve the equation. Identify any extraneous solutions. x = sqrt root 3x + 40

  4. algebra

    Solve the equation using the zero-product property. -9n(5n-5) a. -1/9, 1 b. 0,1***** c. -1/9,-1 d. 0,-1 Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2-6=x a. x=2,3 b. x=-2,3

  1. math

    (1)Is the Equation true, false, or open? 4y + 8 = 6y + 3 A. True; the expressionas are the same for all values of variables B. False; the expressions are never the same ****** C. Open; there is a varible (12)Which equation is an

  2. Algebra (need help quick)

    17. solve the equation using the zero-product property. 6x(3x+1)=0 A.x=0,1/3 B.0,1 C.0,-1/3 D.0,-1 18.Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 6x(3x+1)=0 A.x=0,1/3 B.x=0,1

  3. algebra

    (1) Is the equation true false or open? 9p + 8 = 10p + 7 A. open;there is a variable ***** B. true;the expressions are all the same for all values of the variiables C. false;the expressions are never the same (12) Which equation

  4. Math help

    Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions.

  1. Algebra 1

    Solve the equation. Identify any extraneous solutions. sqrt d=-6

  2. math---help! 1 question

    pls help me! 21. Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. (3 points)

  3. Alg 2

    Solve the equation. Check for extraneous solutions. 10 ln 100x - 3 = 117 Thank you in advanced

  4. Algebra II

    Solve each equation. Check for extraneous solutions. Solve:|x+5|=3x-7 My answers were: x=6 and x=.5 I don't think they are right though, but I should get 2 answers right???....Help!

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