Question

Find the value of a2+ b2+c2, if a+ b+ c = 13 and ab + bc + ca = 27

Answer 1

Answer:

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Answer 2

The value of a² + b² + c² = 115

Given :

• a + b + c = 13

• ab + bc + ca = 27

To find :

The value of a² + b² + c²

Formula :

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

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that

a + b + c = 13

ab + bc + ca = 27

Step 2 of 2 :

Find the value of a² + b² + c²

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

⇒ 13² = a² + b² + c² + ( 2 × 27 )

⇒ 169 = a² + b² + c² + 54

⇒ a² + b² + c² = 169 - 54

⇒ a² + b² + c² = 115

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