Name: James
Who is asking: Student
Level: Secondary
Question:
How do you derive the quadratic formula? I know what it is, but the textbook doesn't say how to derive it.
The quadratic formula is derived by "completing the square". Suppose you have the general quadratic equation
Divide both sides by a to get
or
By adding the square of one half the coefficient of x to both sides, the left side becomes a square, that is
or
.
Thus
,
and finally
Cheers,
Penny
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