Ifa and b are the zeroes of a quardratic polyminal such that a b=24,and a-b =8 ,then find the quadratic polynomal
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a+b=24
a-b=8
Adding we get,
2a=32
or, a=16 and
b=24-a
or, b=24-16
or, b=8
∴, a×b=16×8=128
∴, The required quadratic polynomial:
x²-x(sum of the zeros)+(product of the zeros)
=x²-24x+128
a-b=8
Adding we get,
2a=32
or, a=16 and
b=24-a
or, b=24-16
or, b=8
∴, a×b=16×8=128
∴, The required quadratic polynomial:
x²-x(sum of the zeros)+(product of the zeros)
=x²-24x+128
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