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Let roots are a and b .
sum of roots = -b/a = -5
product of roots = c/a = -4
now , we know that
(a-b)² = (a+b)²-4ab
(a-b)² = (-5)² -4(-4) = 25+16 = 41
(a-b) = √41 = 6.4
(a+b) = -5
2a = 1.4
a = 0.7
b = - 5.7
so,
a+2/3 = 2.7/3 = 0.9
b+2/3 = -3.7/3 = -1.2
sum of roots = 0.9-1.2 = -0.3
product = -1.08
eqn. whose roots are
x²-sum of roots(x) + product of roots = 0
x²-0.3x -1.08 = 0
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