if L and ß are zeroes of quadratic polynomial
find the value of
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Polynomial P(x) = x² - 6 x + a
Given α and β are the roots. To find a , if 3 α + 2 β = 20. ---(1)
From the quadratic expression:
α + β = 6 ---(2)
and α β = a --- (3)
Multiply equation (2) by 2 and subtract from (1) to get:
α = 20 -12 = 8
Substitute this value in(2) to get:
β = 6-8 = -2
Substitute these in (3) to get: a = α β = -16.
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Answer:
7,303,206. Expanded form = 7 × 1000000 + 3 × 100000 + 0 × 10000 + 3 × 1000 + 2 × 100 + 0 ... (ii) 4035672 ... (ii) One million, forty-seven thousand, five hundred and nine ·
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