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Relations between Roots and Coefficients : Higher Order Equations

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Find the value of k such that the polynomial x^2-(k+6)x+2(2k-1) has sum of its zeroes equal to half of their product

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Q. Find the value of

k

such that the quadratic equation

x^{2} - (k + 6) x + 2 (2 k - 1) = 0

has sum of the roots as half of their product.

α

β

are the zeroes of quad. polynomial

x^{2} - (k + 6) x + 2 (2 k - 1)

. Find the value of

k

α + β = \frac{1}{2} α β

Q. If the sum of the roots of the equation

x^{2} - (k + 6) x + 2 (2 k - 1) = 0

is equal to half of their product, then k =

(a) 6
(b) 7
(c) 1
(d) 5

Q. Find the value of

- k

α

β

are the zeros of the polynomial

x^{2} - 6 x + k

3 α + 2 β = 20

Q. Find the value of

k

3 x^{2} + 2 k x + x - k - 5

has the sum of zeros as half of their products.

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Relations between Roots and Coefficients : Higher Order Equations

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