SOLUTION: Please help me solve this equation: {{{ n^2-14n+45=0 }}}

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Question 693631: Please help me solve this equation: ++n%5E2-14n%2B45=0++
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Notice that +%28-5%29%2A%28-9%29+=+45+
and also ++5+%2B+9+=+14+
In a quadratic equation, you have
+%28+n+-+k+%29%2A%28+n+-+j+%29+=+n%5E2+-+%28+j+%2B+k+%29%2An+%2B+j%2Ak+=+0+
In your case,
+j+=+5+
+k+=+9+, so
+%28+n+-+9+%29%2A%28+n+-+5+%29+=+n%5E2+-+%28+5+%2B+9+%29%2An+%2B+5%2A9+
+%28+n+-+9+%29%2A%28+n+-+5+%29+=+n%5E2+-+14n+%2B+45+
+%28+n+-+9+%29%2A%28+n+-+5+%29+=+0+
+n+=+9+
+n+=+5+