How do you solve the quadratic equation by completing the square: #x^2+8x2=0#?
We add 16 to both sides in order to write the Left Hand Side as a Perfect Square.
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To solve the quadratic equation ( x^2 + 8x  2 = 0 ) by completing the square, follow these steps:

Move the constant term to the other side of the equation: ( x^2 + 8x = 2 )

To complete the square, take half of the coefficient of ( x ) (which is ( 8 )) and square it: ( (\frac{8}{2})^2 = 16 )

Add and subtract the squared value obtained in step 2 to the left side of the equation: ( x^2 + 8x + 16  16 = 2 )

Factor the perfect square trinomial on the left side: ( (x + 4)^2  16 = 2 )

Add 16 to both sides of the equation: ( (x + 4)^2 = 18 )

Take the square root of both sides: ( x + 4 = \pm \sqrt{18} )

Subtract 4 from both sides: ( x = 4 \pm \sqrt{18} )
So, the solutions to the quadratic equation ( x^2 + 8x  2 = 0 ) by completing the square are ( x = 4 + \sqrt{18} ) and ( x = 4  \sqrt{18} ).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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