SOLUTION: x² + 6x – 3 = 0

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Question 34161: x² + 6x – 3 = 0
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
you cannot factorise this quadratic easily, so look to the quadratic formula to help you. By looking at the discriminant, b%5E2+-+4ac+, we see that it is

+%286%29%5E2+-+4%281%29%28-3%29+
+36+%2B+12+
+48+

So, the quadratic does have solutions, given by:

+x+=+%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29+
+x+=+%28-6+%2B-+sqrt%2848%29%29%2F2+
+x+=+%28-6+%2B-+sqrt%2816%2A3%29%29%2F2+
+x+=+%28-6+%2B-+sqrt%2816%29sqrt%283%29%29%2F2+
+x+=+%28-6+%2B-+4sqrt%283%29%29%2F2+
+x+=+%282%28-3+%2B-+2sqrt%283%29%29%29%2F2+
+x+=+-3+%2B-+2sqrt%283%29+
so +x+=+-3%2B2sqrt%283%29+ or +x+=+-3-2sqrt%283%29+

jon.