Question

If alpha and beta are the zeroes of f(x)=x^2-5x+k if alpha-beta=1 find the value of k topper

Answer 1

Answer: THE VALUE OF K IS 1

Step-by-step explanation:

GIVEN - 1. alpha and beta are zeroes

of the polynomial

2. alpha-beta=1

Now,

alpha+beta= -b/a = -(-5)/1

Or, alpha+beta = 5. ------1

Now,

alpha-beta = 1 ---------2 (given)

Adding equation 1 and 2 we get,

alpha+beta = 5

alpha-beta = 1

---------------------------

2alpha = 6. (Since beta-beta=0)

Therefore alpha = 6/2 = 3

Putting alpha = 3 in equation 1 we get,. 3+beta = 5

Therefore beta = 5-3 = 2

Therefore the zeroes are 3 and 2

Now putting the values of zeroes we get

3²-5(2)+k = 0

Or 9-10+k = 0

Or -1+k = 0

Therefore k = 0+1 = 1

Hope it helps plz give 5