Question

solve this question

Answer 1

Answer:

6

Step-by-step explanation:

α and β are zeroes

α - β = 1

α + β = 5 (from sum of roots = -b/a)

Solve both equations,

α = 3

β = 2

k = product of roots = 6

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Answer 2

Answer: k = 6

Step-by-step explanation:

In a polynomial, sum of zeros = -b/a where, b= coefficient of 'x' && a = coefficient of 'x^2'

sum== alpha + beta = 5 ..... (i)

          alpha - beta = 1 ......(ii)      [Given]

(i) - (ii)

beta - -beta = 5-1

2 beta = 4

beta = 4/2 = 2

alpha - beta = 1

alpha - 2 = 1

alpha = 3

Hence, zeros are 3,2

Now, product of roots = c/a, where c= constant

Hence,

3*2 = k/1

k =6.... required answer