Question

If x + y + z =10 and xy + yz + zx = 24, find the value of x2
+ y2
+ z2
.

Answer 1

Answer:-

Given:

x + y + z = 10

xy + yz + zx = 24

We know that,

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

→ (x + y + z)² = x² + y² + z² + 2( xy + yz + zx )

→ (10)² = x² + y² + z² + 2(24)

→ 100 - 48 = x² + y² + z²

→ x² + y² + z² = 52

Hence, the value of x² + y² + z² is 52.