Posted by Stella on Saturday, April 21, 2012 at 5:58pm.
a x ^ 2 + b x + c = a ( x - x1 ) ( x - x2 )
In this case :
x 1 = sq
a x ^ 2 + b x + c = a ( x - x1 ) ( x - x2 )
a leading coefficient
x1 and x2 roots
In this case :
x 1 = - sqrt ( 3)
x 2 = 3 sqrt ( 3 )
a x ^ 2 + b x + c = a [ ( x - ( - sqrt ( 3 ) ) ] * [ ( x - 3 sqrt ( 3 ) ) =
a [ ( x + sqrt ( 3 ) ) ] * [ ( x - 3 sqrt ( 3 ) ) =
a [ x * x + x * sqrt ( 3 ) - 3 sqrt ( 3 ) * x - 3 * sqrt ( 3 ) * sqrt ( 3 ) ] =
a [ x ^ 2 - 2 sqrt ( 3 ) x - 3 * 3 ] =
a [ x ^ 2 - 2 sqrt ( 3 ) x - 9 ]
a [ x ^ 2 - 2 sqrt ( 3 ) x - 9 ] = 0 Divide both sides by a
x ^ 2 - 2 sqrt ( 3 ) x - 9 = 0 / a
x ^ 2 - 2 sqrt ( 3 ) x - 9 = 0
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