++LeyULTELIU13. If the sum of the zeros of the quadratic polynomial fp

1.	++LeyULTELIU13. If the sum of the zeros of the quadratic polynomial fproduct, find the value of= kt? + 24 + 3k is equal to their1 TFC
Answer» Given: The sum of the zeroes of the polynomialis equal to their product. To find: The value ofk. Letbe the two zeros of the polynomial. We know that ifαandβare the zeros of a quadratic polynomialf (x), then Sum of the zeros = Therefore, using the given polynomial, we get Also, we know that ifαandβare the zeros of a quadratic polynomialf (x), then Product of the zeros = Therefore, using the given polynomial, we get Now, we know that the sum of the zeroes is equal to their product. Therefore, we get Therefore, the value ofk=. Given f(t) = kt2+ 2t +3k α,β are the roots of the quadratic polynomial then α+β =-b/a= -2/k andαβ =c/a= 3k/k According to the conditionα+β =αβie -2/k=3k/k k=-2/3

++LeyULTELIU13. If the sum of the zeros of the quadratic polynomial fproduct, find the value of= kt? + 24 + 3k is equal to their1 TFC

Answer»

Given: The sum of the zeroes of the polynomialis equal to their product.

To find: The value ofk.

Letbe the two zeros of the polynomial.

We know that ifαandβare the zeros of a quadratic polynomialf (x), then

Sum of the zeros =

Therefore, using the given polynomial, we get

Also, we know that ifαandβare the zeros of a quadratic polynomialf (x), then

Product of the zeros =

Therefore, using the given polynomial, we get

Now, we know that the sum of the zeroes is equal to their product.

Therefore, we get

Therefore, the value ofk=.

Given f(t) = kt2+ 2t +3k

α,β are the roots of the quadratic polynomial then

α+β =-b/a= -2/k andαβ =c/a= 3k/k

According to the conditionα+β =αβie -2/k=3k/k

k=-2/3