The repeated root of the equation 4x3 – 12x2 – 15x – 4 = 0 is

f(x)=0 and f'(x)=0 have a common root f1(x)=12x2−24x−15=0⇒x=−12,52⇒f−12=0

The repeated root of the equation 4x3 – 12x2 – 15x – 4 = 0 is

f(x)=0 and f'(x)=0 have a common root f1(x)=12x2−24x−15=0⇒x=−12,52⇒f−12=0

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The repeated root of the equation 4x³ – 12x² – 15x – 4 = 0 is

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5/2

-1/2

1/3

-1/3

answer is B.

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$f (x) = 0$ and $f' (x) = 0$ have a common root $f^{1} (x) = 12 x^{2}$ $- 24 x - 15 = 0 \Rightarrow x = \frac{- 1}{2}, \frac{5}{2} \Rightarrow f (\frac{- 1}{2}) = 0$

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The repeated root of the equation 4x³ – 12x² – 15x – 4 = 0 is