# Quadratic formula and Completing the square.

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.

https://brainmass.com/math/basic-algebra/quadratic-formula-completing-square-272985

#### Solution Preview

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 ...

#### Solution Summary

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