Question 234184: For this problem I need to complete the square, and find the roots of the quadratic equation
x^2 + 16x = 0
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! complete the square, and find the roots of the quadratic equation
x^2 + 16x = 0
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x^2 + 16x + 64 = 64
(x+8)^2 = 64
x+8 = 8 or x+8 = -8
x = 0 or x = -16
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Cheers,
Stan H.
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
Step 1: Put the equation into standard form, that is:  . (This is already done for this problem)
Step 2: Multiply both sides of the equation by the reciprocal of the lead coefficient, that is:  . becomes  . Since the lead coefficient in the given problem is 1, this step can be skipped.
Step 3: Add the additive inverse of the constant term to both sides, that is: becomes  . (This is already done for this problem)
Step 4: Divide the coefficient on the 1st degree term by 2 and then square the result, that is, calculate  . For this problem: 16 divided by 2 is 8, 8 squared is 64.
Step 5: Add the results of step 3 to both sides of the equation, that is: becomes  For this problem,  .
Step 6: Factor the perfect square on the left, that is: becomes ^2 =\ \frac{b^2}{4a}\ -\ \frac{c}{a}) . For this problem: ^2\ =\ 64) .
Step 7: Take the square root of both sides. Remember to consider both the positive and negative roots, that is: becomes  . For this problem: 
Step 8: Collect terms and simplify, that is: becomes  . For this problem:  , so  or  .
John
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