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anonymous
 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
anonymous
 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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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1so 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so then I get (x7)^2  225 ? which is the complete square form i think and how do I factorize that?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well now you have the difference of 2 squares \[a^2  b^2 = (a b)(a + b)\]

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1so it depends on how far you need to go in factoring the quadratic expression

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait I dont understand do i keep (x7) and in the other bracket put (x+[sq root of 225]) ?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1you can... this is an expression and not an equation... is that correct..?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I just checked the answer section and I saw that the answer is (x22) (x+8) so im confused a bit

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well now if you factor as the difference of 2 squares you get \[((x 7) + 15)((x 7)  15)\] just simplify it

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1the 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I 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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