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Drewkatski

  • one year ago

Please help me with this pure math question, much appreciated :) Make the following into complete square form then factorize: x^2 - 14x - 176

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  1. campbell_st
    • one year ago
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    so group the terms in x \[(x^2 - 14x + ?) -176 - ?\] so take halve of the coefficient of the term in x and then square it... add it inside the brackets and subtract it out side the brackets to keep the equation in balance.

  2. Drewkatski
    • one year ago
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    so then I get (x-7)^2 - 225 ? which is the complete square form i think and how do I factorize that?

  3. campbell_st
    • one year ago
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    well now you have the difference of 2 squares \[a^2 - b^2 = (a -b)(a + b)\]

  4. campbell_st
    • one year ago
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    so it depends on how far you need to go in factoring the quadratic expression

  5. Drewkatski
    • one year ago
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    wait I dont understand do i keep (x-7) and in the other bracket put (x+[sq root of 225]) ?

  6. campbell_st
    • one year ago
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    you can... this is an expression and not an equation... is that correct..?

  7. campbell_st
    • one year ago
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    well if you complete the square you get \[(x -7)^2 - 15^2\] you ahve the difference of 2 square... so it can be factored and the linear factors can be simplified

  8. Drewkatski
    • one year ago
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    I just checked the answer section and I saw that the answer is (x-22) (x+8) so im confused a bit

  9. campbell_st
    • one year ago
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    well now if you factor as the difference of 2 squares you get \[((x -7) + 15)((x -7) - 15)\] just simplify it

  10. campbell_st
    • one year ago
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    the question seems a little odd... as it could have been factored from the get go into these 2 linear factors with using complete the square

  11. Drewkatski
    • one year ago
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    I understand!! Thank you so much mate :) haha I find many steps to be pointless but I just follow the teacher thank you again!

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