c) Construct the quadratic whose roots are -1/3 and 2/3.
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c) Construct the quadratic whose roots are -1/3 and 2/3.
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sum of roots =⅓
product of roots =-²/⁹
eq =9x²-3x-2
Step-by-step explanation:
The roots a = -1/3 and b=2/3
The quadratic equation with roots a and b can be formed as:
X²-(a+b) X + ab = 0
Here,
a+b= (-1/3) + (2/3) = 1/3
ab = (-1/3)*(2/3) = (-2/9)
So equation is,