find the quadratic polynomial whose zeros are a and b satisfying a+b =3 and a-b =-1
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Heya,
a+b = 3
=> a= 3-b _____(1)
a-b = 1 ____(2)
Substitute eq 1 in eq 2
3-b-b = 1
3-2b=1
-2b= -2
b= 1
a+b = 3
a+1 = 3
a= 2
Sum of the Zeroes = -b/a
3= -B/A
-B= 3
B = -3
A = 1
Product of the zeroes = C/A
2= C/A
C = 2
Therefore the required quadratic polynomial is x^2 -3x+2
Hope it helps u..
a+b = 3
=> a= 3-b _____(1)
a-b = 1 ____(2)
Substitute eq 1 in eq 2
3-b-b = 1
3-2b=1
-2b= -2
b= 1
a+b = 3
a+1 = 3
a= 2
Sum of the Zeroes = -b/a
3= -B/A
-B= 3
B = -3
A = 1
Product of the zeroes = C/A
2= C/A
C = 2
Therefore the required quadratic polynomial is x^2 -3x+2
Hope it helps u..
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