SOLUTION: SOLVE X(X+1)=27

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Question 312441: SOLVE X(X+1)=27
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+X%28X%2B1%29=27
+X%5E2%2BX=27
+X%5E2%2BX-27=0
Use the quadratic formula,
+X+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
X+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A%28-27%29+%29%29%2F%282%2A1%29+
X+=+%28-1+%2B-+sqrt%28+1%2B108+%29%29%2F2+
highlight_green%28X+=+%28-1+%2B-+sqrt%28109+%29%29%2F2%29+

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Distribute and put in standard form:



Use the quadratic formula where , , and







Since 109 is prime, this is in simplest form. Use your calculator if you need a numerical approximation.


John