Question

if a+b+c=10 and ab+bc+ca=23 what is a²+b²+c²
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Answer 1

EXPLANATION.

=> a + b + c = 10

=> ab + bc + ca = 23

To find the value of = a² + b² + c².

Formula of ( a + b + c)²

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

=> ( 10 )² = a² + b² + c² + 2 ( 23)

=> 100 = a² + b² + c² + 46

=> 100 - 46 = a² + b² + c²

=> 54 = a² + b² + c²

value of a² + b² + c² = 54.

Answer 2

Answer:

⭐ Question ⭐

✍ If a+b+c=10 and ab+bc+ca=23 what is a²+b²+c²

⭐ Given ⭐

✍ ✏ a+b+c=10

✏ ab+bc+ca=23

⭐ To Find ⭐

✍ a²+b²+c²

➡ As we know the formula,

⭐(a+b+c)² = a²+b²+c²+2(ab+bc+ca)

=> (10)² = a²+b²+c²+2(23)

=> 100 = a²+b²+c²+46

=> 100-46 = a²+b²+c²

=> 54 = a²+b²+c²

=> a²+b²+c² = 54✔

✳ Hence, the value of

a²+b²+c² = 54

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