Question

Find q.p, the sum and the product of whose zeroes are -10 and 25

Answer 1

q=-5

p=-5

Explanation:

q+p= -10-----1

qp= 25 ------2

from 2----------- q= 25/p--------3

Putting 3 in 1

25/p+p= -10

25+p²/p= -10

25+p²= -10p

p²+10p+25=0---------------4

p² +5p+5p+25=0

p(p+5) +5(p+5)=0

(p+5)(p+5)=0

p+5=0

p= -5-------------------------5

Putting 5 in 1

q+p=-10

q+(-5)=-10

q=-10+5

q=-5------------------------6