Question

If one zero of the polynomial 3x2 - 5x +2k +1 is five times of other then find the value of k

Answer 1

Let one zero of polynomial is t.

Then other zero will be 5t

The sum of two zeros of a polynomial = -b/a = 5/3

⇒t +5t=5/3

⇒6t=5/3

⇒t=5/18

⇒t=5/18 ...........(1)

The multiplication of zeros = c/a = (2k+1)/3

5t×t=(2k+1)/3

5(5/18)^2 = (2k+1)/3

125/324=(2k+1)/3

125=108(2k+1)

125=216k +108

216k=17

k=17/216

Answer 2

Answer:

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Step-by-step explanation:

If one zero of tthe quadratic polynomial, the sum and product of whose

zeroes are