Question

Find the quadratic polynomial such that sum of its zeros is 10 and different between the zeroes is 9.​

Answer 1

Answer:

every quadratic equations has 2 zeros (in other words roots)

Step-by-step explanation:

let a,b be the zeros(roots) of given Quadratic polynomial

given:

a+b = 10 (sum=10) --------(1)

a-b = 9 (difference=9) ------(2)

solving (1) and (2)

a=19/2

b= 1/2

generally the quadratic polynomial = (x-a)(x-b)

=(x-19/2)(x-1/2)

=x^2 -10x +19/4