Pre-Calc-Please check my answer

Please help-I'm stuck really bad
Thank you for any help you can provide


What are the roots of the equation x^2 -4x + 3 = 0
x^2 - 4x = 3
x^2 +2(-2)x + -2^2 = -3 = -2^2
x^2 + -4x + 4 = 1
(x + -2)^2 = 1
qrt (x+-2)^2 = sqrt 1
x+-2 = plus or minus 1
therefore x=1
x=3 roots are 1 and 3

  1. 👍 0
  2. 👎 0
  3. 👁 156
  1. You did this about the most difficult way.

    Consider:
    x^2-4x-3=0
    (x-1)(x-3)=0
    x= 1, or 3

  2. x^2 -4x + 3 = 0
    factor
    (x-3)(x-1) = 0
    x = 3 or x = 1
    or complete the square as you tried
    x^2 -4 x = -3 note sign change of 3
    x^2 - 4 x + 4 = -3 +4 = 1
    (x-2)^2 = 1
    x = 2 +/- 1
    x = 1 or x = 3

    1. 👍 0
    2. 👎 0
  3. I believe you are trying to factor the polynomial.
    so x^2 -4x+3

    (x-1)(x-3) =0
    x= 1,3

    1. 👍 0
    2. 👎 0
  4. Alison, I am sure Sheila was trying to do it by completing the square. Note taking half of the coef. of x and squaring it. Factoring is too easy.

    1. 👍 0
    2. 👎 0
  5. I did do it the long way-you way is much simpler Thank you all

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. mathematics

    A trader has 100 mangoes for sale. Twenty of them are unripe. Another five of them are bad. If he picks a mango is at random, find the probability that it is : a) unripe? b) bad? c) neither unripe nor bad?

    asked by brielle on July 1, 2020
  2. statistics

    A retail store has implemented procedures aimed at reducing the number of bad checks cashed by its cashiers. The store's goal is to cash no more than eight bad checks per week. The average number of bad checks cashed is 3 per

    asked by Michael on September 30, 2011
  3. history

    Why, when, and where did Abraham Lincoln say "What kills a skunk is the publicity it gives itself." ? Thanks. Since this is not my area of expertise, I searched Google under the key words "Abraham Lincoln Skunk quote" to get

    asked by April on October 15, 2006
  4. Andrew Carnegie treating his workers??????

    How did Andrew Carnegie treat his workers? He treated them very bad. They were paid little and worked long hours, they were beaten and threatened even though he fought for workers who have bad working conditions he treated his

    asked by Laruen on November 1, 2012
  5. algebra

    A computer repair shop has estimated the probability that a computer sent to the shop has a bad modem is 1/8, the probability that the computer has a bad CPU is 1/5, and the probability that it has a bad drive is 1/3. If we assume

    asked by Eliza on July 7, 2013
  1. Com

    There are many distinctions among the different types of communication techniques used in the business world. · Select two techniques. · Provide an example of when it is appropriate to use each in corporate communication. 2.

    asked by Dawn on February 11, 2008
  2. English

    My mother feels (bad, badly) about what happened. I think that it is bad.

    asked by Joe on July 3, 2017
  3. Geometry :)

    1) Segment CD has endpoints (-4, 3) and (8, -1). Find the coordinates of the point that divides the line segment directed from C to D in the ratio of 2:3. A) (6/5,26/5) B) (4/5,7/5) C) (1/5,13/5) D) (16/5,3/5) I would provide what

    asked by Ami on September 21, 2019
  4. English

    Smells bad. Do you mind if I open the window? - I'm sorry but I do. I have a cold. ................................ What is the full form of 'Smells bad'? 1. It smells bad. 2. That smells bad. 3. ____ smells bad. Do you sometimes

    asked by rfvv on August 29, 2016
  5. writing

    How do performance-enhancing drugs cheapen sports and provide bad role models for our youth?

    asked by Sassie on September 3, 2006
  6. english LAC

    i need help really bad i have a beginning to my essay but i need a little guidance to finish it off...here's the question: [1. Write a four paragraph literary essay in response to the following question. Be sure to include a

    asked by no name on January 12, 2011

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