Question

if a+b +c= 5 ,ab+bc+ac=10 find a2+b2+ c2​

Answer 1

Answer:

-25

Step-by-step explanation:

a+b+c=5 and ab+bc+ca=10

Finding a²+b²+c²,

(a + b + c)² = a² + b² + c² +2(ab+bc+ca)

(5)² -2×10 = a² + b² + c²

a²+b²+c² =5

a³+b³+c³-3abc=(5)(5-(ab+bc+ca)

a³+b³+c³-3abc=5(5-10)

=5(-5)

=-25

Answer 2

Answer:

5

Step-by-step explanation:

given a+b+c=5

sobs

(a+b+c)^2=5^2

a^2+b^2+c^2+2(ab+BC+ca) =25

a^2+b^2+c^2+2*10 =25

a^2+b^2+c^2+20=25

a^2+b^2+c^2=25-20=5