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Given
x^2-5X+λ
a=1, b=-5, c=λ
α-β=1 (given)------------eq 1
sum of zeroes= -b/a= -(-5)/1=5
α+β=5----------------------eq2
from eq 1 &2
α-β=1
α+β=5
2α=5+1
2α=6
α=6/2=3
put this value in eq. 2
α+β=5
3+β=5
β=5-3=2
product of zeroes=c/a=λ/1
αβ=λ/1
3*2=λ/1
6=λ/1
λ=6
The value of λ =6
x^2-5X+λ
a=1, b=-5, c=λ
α-β=1 (given)------------eq 1
sum of zeroes= -b/a= -(-5)/1=5
α+β=5----------------------eq2
from eq 1 &2
α-β=1
α+β=5
2α=5+1
2α=6
α=6/2=3
put this value in eq. 2
α+β=5
3+β=5
β=5-3=2
product of zeroes=c/a=λ/1
αβ=λ/1
3*2=λ/1
6=λ/1
λ=6
The value of λ =6
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