SOLUTION: 1) Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks: a) Solve by factoring. b) Solve by completing the square. c) Solve by using the quadratic

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FACTORIZATION METHOD

or
or
or
Therefore, either (x - 5) = 0 i.e. x = 5 or (x + 1) = 0 i.e. x = -1.



COMPLETING THE SQUARE METHOD
The equation can also be written as


Square-rooting both sides we have
either or
i.e. either x = 5 or x = -1.



QUADRATIC FORMULA METHOD
The formula, developed by Sreedharacharya, for solving quadratic equation is
.
Comparing with the standard quadratic equation, here a = 1, b = -4, c = -5.
Substituting these values in the formula we obtain

or
or
or
or
So either x = 5 or x = -1.