Question

if a+ b + c = 5 and ab +bc+ac =10 then find the value of a2+b2+c2​

Answer 1

Answer:

15

Step-by-step explanation:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ac

(5)²=a²+b²+c²+2(ab+bc+ac)

25=a²+b²+c+2(10)

a²+b²+c²=25-10

a²+b²+c²=15

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Answer 2

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Answer:

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

Step-by-step explanation:

by using identity V,

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

∴(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca

⇒a^2+b^2+c^2=(a+b+c)^2-2ab-2bc-2ca

                        =(5)^2 -2(ab+bc+ca)

                        =25-2(10)

                        =25-20

                        =5

∴The value of a^2+b^2+c^2=5