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Algebra - Solving Quadratic Equations

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A. Solve the equation x^2 + 8x - 2 = 0 using both the quadratic formula and by completing the square.

B. Briefly compare and contrast the two methods.

Please show all work and be as detailed as possible.

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Solution Summary

A complete, neat and step-by-step solution is provided with regards to solving quadratic equations.

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(A) (a) By Formula:

x^2 + 8x - 2 = 0

a = 1, b = 8, c = -2

x = [-b +_ sqrt(b^2 - 4ac)] / 2a

x = [-8 +_ sqrt{8^2 - 4 * 1 * -2}] / 2(1)

x = [-8 +_ sqrt 72] / 2

x = [-8 +_ 6 sqrt 2] / 2

x = ...

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