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anonymous

  • one year ago

MEDAL AND FAN :D Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

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  1. anonymous
    • one year ago
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    @Haseeb96

  2. anonymous
    • one year ago
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    @undeadknight26

  3. anonymous
    • one year ago
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    @welshfella

  4. welshfella
    • one year ago
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    9x^2 - 12 x + 4 is a perfect square can you tell me what are the square roots of 9x^2 and 4?

  5. anonymous
    • one year ago
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    Idk, 4 square root is 2 right?

  6. welshfella
    • one year ago
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    yes what about 9x^2?

  7. welshfella
    • one year ago
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    u need square root of 9 and square root of x^2

  8. anonymous
    • one year ago
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    3, idk how to get the square root of x^2

  9. welshfella
    • one year ago
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    its easy x^2 = x * x so by definition square root of x^2 = x so square root of 9x^2 = 3x

  10. welshfella
    • one year ago
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    we need -2 for square root of 4 because we have -12x in the middle of the expression square root of 9x^2 - 12 x + 4 = (3x - 2) x^2 - 12 x + 4 = (3x - 2)^2 = area of the square each side of square has length 3x - 2

  11. anonymous
    • one year ago
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    Makes sense

  12. welshfella
    • one year ago
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    thats 9x^2 on last line not x^2

  13. anonymous
    • one year ago
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    So what would that get for part A?

  14. welshfella
    • one year ago
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    Part B is a rectangle with different length and width

  15. welshfella
    • one year ago
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    - we finished part A

  16. anonymous
    • one year ago
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    Wait, what was the answer for part a? x^2 - 12 x + 4 = (3x - 2)^2 ?

  17. welshfella
    • one year ago
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    yea those are the factors and side length = 3x - 2

  18. anonymous
    • one year ago
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    Sweet, now what would part b be? how would we find it?

  19. welshfella
    • one year ago
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    25x^2 - 16y^2 is the Difference of 2 squares this factors to 2 binomials which are the same except one has + and one has - sign first what are the sqqaure roots of 25x^2 and 16y^2?

  20. anonymous
    • one year ago
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    5x^2, 4x^2?

  21. welshfella
    • one year ago
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    first square root of 25 = 5 and sqrt of x^2 = x giving 5x so can you figure out square root of 16y^2 in a similar way?

  22. welshfella
    • one year ago
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    nearly right NOT 4x^2

  23. anonymous
    • one year ago
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    2x^2?

  24. welshfella
    • one year ago
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    you have the number paret right - 5 and 4 but what are sqrts of x^2 and y^2?

  25. anonymous
    • one year ago
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    x*x

  26. welshfella
    • one year ago
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    no x^2 = x*x - i wan the square root of x^2

  27. welshfella
    • one year ago
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    check back to earlier posts

  28. anonymous
    • one year ago
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    x?

  29. welshfella
    • one year ago
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    yes the square root of x^2 = x because x*x = x^2 similarly sqrt y^2 = y

  30. welshfella
    • one year ago
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    so sqrt 25x^2 = 5x and sqrt 16y^2 = ?

  31. anonymous
    • one year ago
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    2x?

  32. welshfella
    • one year ago
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    why 2x - there's no x in 16y^2 and sqrt 16 is not 2 - its 4

  33. anonymous
    • one year ago
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    so it's just 4

  34. welshfella
    • one year ago
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    4 is aqrt 16 yes but i need sqrt of 16y^2

  35. anonymous
    • one year ago
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    4x?

  36. welshfella
    • one year ago
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    - u r driving me crazy!! - how can it be x when theres no x in 16y^2 - what letter is in 16y^2?

  37. anonymous
    • one year ago
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    Square root of ^2 is x? waaait im wrong

  38. anonymous
    • one year ago
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    there is none, so why wouldn't it just be 4??

  39. anonymous
    • one year ago
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    4y!!!!!!!!??

  40. welshfella
    • one year ago
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    yes - of course 4y

  41. welshfella
    • one year ago
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    so going back 25x^2 - 16y^2 = ( 5x + 4y)(5x - 4y) note there's + in one bracket and - in the other

  42. welshfella
    • one year ago
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    those are the factors and the dimensions of the rectangle one dimension is 5x+4y and the other ix 5x-4y.

  43. anonymous
    • one year ago
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    So that's the answer, 5x+4y for each side?

  44. welshfella
    • one year ago
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    no 5x+4y for one side and 5x-4y for the other

  45. welshfella
    • one year ago
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    5x+4y will be the length and 5x-4y will be the width

  46. anonymous
    • one year ago
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    Thanks!!

  47. welshfella
    • one year ago
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    yw

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