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who is good at completing squares? i need one on one help
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\[x^2+6x=1=0\] \[x^2+6x=-1\] \[(x+3)^2=-1+3^3=8\] \[x+3=\pm\sqrt{8}\] \[x=-3\pm\sqrt{8}\] is an example of solving a quadratic using that method
completeing a square is intuitively a geometric concept: x^2 + 6x + ______ \begin{array}c x^2&x&x&x\\ x&1&2&3\\ x&4&5&6\\ x&7&8&9\\ \end{array} x^2 + 6x + "9" is a complete square this concept gets us to the algebraic method; take the number of "x"s that are added on and divide them in half 6/2 = 3 now we square that value to determine how to "complete" our square: 3^2 = 9
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