Question

if p and q are the zeroes of polynomial ax2 -5x +c, then find the value of a and c , if p+q =pq =10

Answer 1

Given :-

ax^2 -5x +c

p and q are zeroes of the polynomial

p+q = pq = 10

question :- To find value of "a" and "c"

Solution :-

The given polynomial is in the form of ax^2 + bx + c

on comparing , we find

a = a

b = -5

c = c

we know that

p+q = - b/a

p + q = 10

10 = -(-5)/ a

10 = 5 / a

10a = 5

a = 5/10

a = 1/2

pq = 10

pq = 10we know that pq = c /a

10 = c/1/2

10= 2c

c = 10/2

c = 5

•°• a = 1/2 , c = 5

•°• a = 1/2 , c = 5Polynomial :- 1/2x^2 - 5x +5

Answer 2

Answer:

a=1/2 and c= 5 is the final answer