Question

find the value of ab+bc+ca if a+b+c=0 and a^2+b^2+c^2=35​

Answer 1

Answer:

-35/2

Step-by-step explanation:

given a+b+c=0-> eq 1

a^2+b^2+c^2=35-> eq 2

s.o.b.s for eq 1

(a+b+c)^2=0^2

a^2+b^2+c^2+2(ab+bc+ca)=0

from eq 2

35+2(ab+bc+ca)=0

2(ab+bc+ca)=-35

ab+bc+ca= -35/2