Question

Find the value of a2+b2+c2 if a+b+c=17 and ab+bc+ca=30

Answer 1

a+b+c = 17

ab + bc + ca = 30

We know the property,

(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)

So a² + b² + c² = (a+b+c)² - 2(ab+bc+ca) = 17² - 2*30 = 289 - 60 = 229

ie a² + b² + c² = 229

Answer 2

Answer:

229

Step-by-step explanation:

Given,

a+b+c=17 and ab+bc+ca=30

To Find,

The value of a2+b2+c2.

a+b+c = 17

ab + bc + ca = 30

Concept:

We know the property,

(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)

So a² + b² + c²

= (a+b+c)² - 2(ab+bc+ca)

= 17² - 2*30

= 289 - 60

= 229

Therefore, the answer is 229.

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