Question

If a and B are the zeroes of the quadratic polynomial x^2 - 5x+p such that a- B=1, find the value of p​

Answer 1

EXPLANATION

• GIVEN

a and b are the zeroes of polynomial

x^2 - 5x + p

such that,

a - b = 1

TO FIND VALUE OF P.

According to the question

sum of zeroes of polynomial = a + b = -b/a = 5

products of zeroes of polynomial = ab = c/a = p

Therefore,

a + b = 5 .....(1)

GIVEN = a - b = 1 ....(2)

From equation (1) and (2) we get,

2a = 6

a = 3

put the value of a = 3 in equation (1)

we get,

a + b = 5

3 + b = 5

b = 2

Therefore,

ab = p

3 X 2 = p

p = 6

Hence, value of p = 6

NOTE =

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