if p and q are zeroes of polynomial f(x)=2x square-7x+3 find the value of p square
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Step-by-step explanation:
p & q are the zeroes of polynomial
f(x) = 2x²-7x+3
p + q = 7/2 -----(1)
pq = 3/2
p - q = √(p+q)²-4pq
p - q = √(49/4)-6
p - q = √(49-24)/4
p - q = √(25/4)
p - q = 5/2 -----(2)
from equation (1) + (2)
2p = 12/2 = 6
p = 3
q = 1/2
Value of p² = 3² = 9
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