Find all the zeros of the quadratic polynomial f(x)=abx^2+(b^2-ac)x-bc
abx²+(b²-ac)x-bc=0
x=-(b²-ac)±√[(b²-ac)²+4.ab²c] ÷ 2ab ..................(1)
x=-(b²-ac)±(b²+ac) ÷ 2ab
x=-b²/ab , ac/ab
x= -b/a , c/a
eq (1) can be solved like this
√[bΛ4 + a²c² - 2ab²c + 4ab²c] = √[bΛ4 + a²c² + 2ab²c] = √[b²+ac]² = b² + ac
Thanks!!
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