alpha + beta is equal to 1/3 and Alpha*beta is equal to 4/3. Find the polynomial
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Answer:
3x²-x+4=0
Step-by-step explanation:
The general form of a quadratic equation is,
ax²+bx+c=0.
We have to apply the relation between the coefficients and the roots.
We know that the sum of the roots,
alpha+beta = -b/a = 1/3
We know that the product of the roots,
alpha×beta = c/a = 4/3
The value of a is 3.
So the value of b is -1
And the value of c is 4.
Therefore the polynomial is,
3x²-1x+4=0.
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