How do you solve using completing the square method #m^2+4m+2=0#?
The squares identity difference can be expressed as follows:
((m+2)sqrt(2))((m+2)+sqrt(2))#color(white)(0)
(m+2sqrt(2))(m+2+sqrt(2))#color(white)(0)
Thus:
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To solve using completing the square method:
 Move the constant term to the other side of the equation.
 Add the square of half the coefficient of the linear term to both sides.
 Rewrite the quadratic expression as a perfect square trinomial.
 Solve for the variable by taking the square root of both sides.
 Simplify the expression.
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To solve the quadratic equation ( m^2 + 4m + 2 = 0 ) using the completing the square method, follow these steps:

Move the constant term to the other side of the equation: ( m^2 + 4m = 2 )

To complete the square, take half of the coefficient of ( m ) (which is 4), square it, and add it to both sides of the equation: ( m^2 + 4m + (4/2)^2 = 2 + (4/2)^2 ) ( m^2 + 4m + 4 = 2 + 4 ) ( m^2 + 4m + 4 = 2 )

Rewrite the left side as a perfect square: ( (m + 2)^2 = 2 )

Take the square root of both sides (note that there are two solutions since taking the square root introduces a positive and negative root): ( m + 2 = \pm \sqrt{2} )

Solve for ( m ) by subtracting 2 from both sides: ( m = 2 \pm \sqrt{2} )
So, the solutions to the equation ( m^2 + 4m + 2 = 0 ) using the completing the square method are ( m = 2 + \sqrt{2} ) and ( m = 2  \sqrt{2} ).
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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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