advanced math

find the real solutions.
3+ the square root of (2x+2)=x

  1. 👍 0
  2. 👎 0
  3. 👁 111
  1. 3+√(2x+2) = x
    √(2x+2) = x-3
    2x+2 = (x-3)^2
    2x+2 = x^2-6x+9
    x^2-8x+7 = 0
    (x-1)(x-7) = 0
    x = 1 or 7

    check for extraneous roots:
    3+√(2+2) = 3+2 = 5 nope
    3+√16 = 3+4 = 7 ok

    so, x=7 is the only solution

    x=1 is the solution using the -√
    3-√4 = 1

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math PLEASE HELP ASAP

    -PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT PLEASE. *CHALLENGE. 1.SIMPLIFY : SQUARE ROOT OF 16^8+8^4/16^2+16^7 2.EXPRESS 1 + 1/1+SQUARE ROOT OF 2 - 1/1-SQUARE ROOT OF 2 IN THE FORM A+B SQUARE ROOT OF 2, WHERE A AND BARE

    asked by Aliza on December 10, 2012
  2. algebra

    1.)correct 2.)wrong---> the first term is wrong 4(3a^2)^2 = 36a^4 3.) not sure on this one 4.) wrong---> - square root of six is not a solution Hope this Helps! 1)find p(-3)if p(x)=4x^3-5x^2+7x-10 =-184 2)If r(x)=4x^2-3x+7,find

    asked by manny on August 16, 2007
  3. Math

    I am given 4 choices for the problem the square root of 8x -2 = the square root of 2x. The choices are a)x=2 or 2/9 b)no solutions c)2/9 or d)x=2.I have imput the numbers and gotten a variety of solutions none of which are any of

    asked by Kellie on January 16, 2007
  4. math

    Here's my question: Determine if each system has one, two, or no solutions. (Show your work - 3 marks each) a)y=2x^2-2x+1 and y=3x-5 b)y=x^2+3x-16 and y=-x^2-8x-18 Here's my work on the question: a) x=(-b plus/minus sign (square

    asked by Alex on January 26, 2015
  5. Math

    i^6 = (i^2)^3 = (-1)^3 = -1 The square, not the square root of -1 is 1. :) B.t.w., can you prove that -1 times -1 is 1? Hint, try to prove first that for any number X: -1 times X equals -X How do you find the square root of -1?

    asked by Count Iblis on November 15, 2006
  6. Algebra

    Hello Reiny, please check these problems for me and if they are not right WOULD YOU PLEASE HELP ME WITH THE CORRECT ONES THANKS!!! 1. Slove for X, wher X is the real number, square root 5x + 9= square root 9x + 13= 27 2. Find the

    asked by lee on October 31, 2010
  7. algebra

    could someone please check these roblems for me and if they are not rightWOULD YOU PLEASE HELP E WITH THE CORRECT ONES THANKS!!! 1. Slove for X, wher X is the real number, square root 5x + 9= square root 9x + 13= 27 2. Find the

    asked by lee on October 31, 2010
  8. algebra

    Find the real solutions 8x^2 + y^2 = 25 8X^2 - y^2 = 39 Is this no solution because I tried solving it and i got the square root of 32 for y, but when i plugged it in to get x there was a negative under the square root sign which

    asked by meg on April 6, 2008
  9. 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."

    asked by Shalee ^~^ on October 22, 2015
  10. 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."

    asked by anonymous on December 1, 2013
  11. Math Help!!!

    1. Which of these numbers can be classified as both real and rational? ½ -1.016879413894 Square root of 5 0.89089908999 2. Which is both a real number and an integer? Square root of 7 0.15 -15 1/3 3. Which is an example of an

    asked by math help asap on November 12, 2014

More Similar Questions