Question

If the sum and product of the zeroes of the polynomial

2

-5+c is equal to

10 each, find the values of a and c​

Answer 1

Answer:

Let p and -p are two zeroes of the quadratic polynomial

Formula : sum of the zeroes = -b/a

p-p=-b/a

0=-b/a

Hence,

b=0

Answer: b=0

Answer 2

Step-by-step explanation:

given ax²-5x+c

sum of roosts =product of root=10

we need to find the values of a and c

values of coefficients as per the given quadratic polynomial:a=a, b=-5, c=c

sum of roots= -b/a=-(-5)/a=5/a

product of roots= c/a

so 5/a=c/a

hence c=5

given that sum of roosts =product of roots =10

-(-5)/a=10

5/a=10

5=10a

a=5/10=1/2

a=1/2,c=5