Question

10. If a + b + c = 9 and ab + bc + ca = 26, find a² + b2 + c?.​

Answer 1

Answer:

= 29

Step-by-step explanation:

= hope its helps you

Answer 2

Step-by-step explanation:

Given that :

a + b + c = 9

and,

ab + bc + ca = 26

then by using algebraic identity,

( a + b + c )^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

( a + b + c )^2 = a^2 + b^2 + c^2 + 2( ab + bc + ca )

by putting value we get

( 9 )^2 = a^2 + b^2 + c^2 + 2( 26 )

81 = a^2 + b^2 + c^2 + 52

a^2 + b^2 + c^2 = 81 - 52

a^2 + b^2 + c^2 = 29