algebra

find the real number solutions of the equation.

w^4+w^3-w=1

could you please show step by step..thank you

  1. 👍
  2. 👎
  3. 👁
  1. is it only 1 b/c if u substitute 1 into w, it'll equal to 1

    1. 👍
    2. 👎
  2. w^4+w^3-w=1
    w^4+w^3-w-1=0
    (w-1)(w^3+2w^2+2w+1)=0
    (w-1)(w+1)(w^2+w+1)=0

    so real solutions are 1 and -1
    complex solutions are 1 -1 j j^2 with j=exp(2Pi/3)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Consider the sequence of steps to solve the equation: 5(x - 3) = 7x 2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x - 30 = 0 Step 4 ⇒ 3x = 30 Step 5 ⇒ x = 10 Identify the property of equality which yields

  2. Algebra

    Josephine solved a quadratic equation: (x+6)^2=49. Her work is shown below. Step 1: √(x+6)^2 = √49 Step 2: x+6 = 7 Step 3: x = 7−6 Step 4: x = 1 In which step did Josephine make an error? A- step 4 B- step 1 C- step 2 D-

  3. chemistry

    What is the percent ionization of a 1.38 mol/L weak acid if its Ka = 2.7 x 10-6? Answer to two (2) decimal places. I know what steps to use but have difficulty applying them to the quesiton Can someone please complete the question

  4. math

    Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10 Which step in solving this equation is justified by the Commutative Property of Addition? Given ⇒ 2(x − 4) + 6x = 9x − 10 Step 1 ⇒ 2x − 8

  1. PreCalc

    Approximate the solutions to the following equation on the interval [0,2π). Round your answer to four decimal places. sinθ=0.65 Apparently, there suppose to be two answers to this question with a comma separating​ both

  2. ALGEBRA HELP

    When solving the equation, what property was used to go from step 3 to step 4? Step 1: -(2x+3= x-18 Step 2: -2x-3=x-18 Step 3: -3=3x-18 Step 4: 15=3x A)APOE B)SPOE C)MPOE D)DPOE

  3. Quick math help

    In which step below does a mistake first appear in simplifying the expression? 0.5(-12c+6)-3(c+4)+10(c-5) Step 1: -6c+3-3(c+4)+10(c-5) Step 2: -6c+3-3c-12+10(c-5) Step 3: -6c+3-3c-12+10c-50 Step 4: 7c-41 Please help me!!! Thank

  4. calculus 1

    Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 6 cos(x) = x + 1 can somebody explain to me step by step on how to solve this problem?

  1. algebra

    write a function rule for the table. y= x -10, -7, -2, 6, 10 y -25, -19, -9, 7, 15 Can someone please show me step by step how to work this problem out step by step, I am so confused.

  2. math

    Which equation has the complex number 4-3i as a root? (1) x^2+6x-25=0 (2) x^2-6x+25=0 (3) x^2+8x-25=0 (4) x^2-8x+25=0 I have no clue how to do it!!!PLEASE HELP!!!Please guide by step by step!!THANKS A LOT~!!!!

  3. math

    the work of a student to find the dimensions of a rectangle of area 6 + 8x and with 2 is shown below: Step 1 6 + 8x Step 2 2(4) + 2(6x) Step 3 2(4+6x) Step 4 Dimensions of the rectangle are 2 and 4 + 6x In which step did the

  4. Math (Check 2 answers please)

    1. What is the value of b in the equation b + 8 = 13? A. 5**** B. 8 C. 13 D. 21 2. The steps below show the incomplete solution to find the value of x for the equation 7x − 3x − 4 = −1 + 21: Step 1: 7x − 3x − 4 = −1 +

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