Zeroes of the polynomial 9x^2 – 12x + 4 are
Zeroes of the polynomial 9x2 – 12x + 4 are
A) 2/3 , 2/3
B) 3/2 , -3/2
C) -3/2 , -3/2
D) (3,2)
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Correct option is (A) 2/3, 2/3
Let p(x) = \(9x^2-12x+4\)
p(x) = 0 gives \(9x^2-12x+4=0\)
\(\Rightarrow\) \((3x)^2-2\times3x\times2+2^2=0\)
\(\Rightarrow\) \((3x-2)^2=0\)
\(\Rightarrow\) 3x - 2 = 0 or 3x - 2 = 0
\(\Rightarrow\) x = \(\frac{2}{3}\) or x = \(\frac{2}{3}\)
\(\therefore\) \(\frac{2}{3}\;and\;\frac{2}{3}\) are zeroes of polynomial \(9x^2-12x+4.\)
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