Question

a+b+c = 9
ab + bc + ca = 23
Find a²+ b² + c² = ?

Kaha ho tum​

Answer 1

a+b+c = 9

ab + bc + ca = 23

Find a²+ b² + c² = ?

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We know that,

(a+b+c)²= a²+b²+c²+ 2ab+ 2bc+ 2ca

Given: a+b+c = 9

ab + bc + ca = 23

9² = a²+b²+c²+ 2(ab+bc+ca)

81 = a²+b²+c²+ 2(23)

81 = a²+b²+c²+ 46

a²+b²+c² = 81-46

a²+b²+c² = 35

Answer 2

Step-by-step explanation:

We know that,

(a+b+c)²= a²+b²+c²+ 2ab+ 2bc+ 2ca

Given: a+b+c = 9

ab + bc + ca = 23

9² = a²+b²+c²+ 2(ab+bc+ca)

81 = a²+b²+c²+ 2(23)

81 = a²+b²+c²+ 46

a²+b²+c² = 81-46

a²+b²+c² = 35