A sum of zeroes of a quadratic polynomial x²-2x²+1 is equal to the sum of zeroes of the other polynomial x³-2x²+x.then find the product of all three zeroes of the second polynomial
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Sol:
√2 x2 - 3x - 2√2
= √2x2 - 4x + x + 2√2
= √2x (x - 2√2) - 1(x - 2√2)
= (x - 2√2)(√2 x - 1)
(x - 2√2) = 0 ⇒ x = 2√2
(√2 x - 1) = 0 ⇒ x = 1/√2
Therefore, zeroes of the polynomial are 2√2 and 1/
not canformed about ans.
√2 x2 - 3x - 2√2
= √2x2 - 4x + x + 2√2
= √2x (x - 2√2) - 1(x - 2√2)
= (x - 2√2)(√2 x - 1)
(x - 2√2) = 0 ⇒ x = 2√2
(√2 x - 1) = 0 ⇒ x = 1/√2
Therefore, zeroes of the polynomial are 2√2 and 1/
not canformed about ans.
rishi3436:
ans is 2.2.1
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