if p and q are the zeros of the polynomial ax²-5x+c and p+q=pq=10, then
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ANSWER :
A = 1/2 , C = 5
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
10a = 5
10 = 5/a
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
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