SOLUTION: Convert the equation to standard form by completing the square x^2+6x+8y+1=0

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Question 1158822: Convert the equation to standard form by completing the square x^2+6x+8y+1=0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+x%5E2%2B6x%2B8y%2B1=0
+%28x%5E2%2B6x%29=-8y-1
+%28x%5E2%2B6x%2Bb%5E2%29-b%5E2=-8y-1
+%28x%5E2%2B6x%2B3%5E2%29-3%5E2=-8y-1
+%28x%2B3%29%5E2-9=-8y-1
+%28x%2B3%29%5E2=-8y-1%2B9
+%28x%2B3%29%5E2=-8y%2B8
+%28x%2B3%29%5E2=-8%28y-1%29-> comparing to +%28x-h%29%5E2=4p%28y-k%29, we see that 4p=-8->p=-2

+%28x%2B3%29%5E2=4%28-2%29%28y-1%29-> standard form