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Quadratic formula and Completing the square.

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Solve the equation x2 + 8x - 2 = 0 using both
1) The quadratic formula
2) Completing the square
Write a paragraph or two comparing and contrasting the two methods. Explain which method you prefer and why.

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Quadratic Formula -

The solutions for a quadratic equation ax2 + bx + c = 0 is given by
x = , where D = b2 - 4ac

Given Quadratic equation is -
x2 + 8x - 2 = 0

Calculating D first -

D = b2 - 4ac
D = 8*8 - 4*(1)*(-2)
D = 64 + 8
D = 72

Roots are -
x =
Now putting the values of a, b and c into the above equation, we have -
x =
x =
x =

Completing the square
Given ...

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