Question

Find the value of a square + b square when a+b = 8 and ab = 10

Answer 1

As we know,

`\boxed{ \boxed{(a + b) {}^(2) = {a}^(2) + {b}^(2) + 2ab}}`

now, let's plug the given values to find a² + b²

• 
  `(8) {}^(2) = {a}^(2) + {b}^(2) + (2 * 10)`

• 
  `64 = {a}^(2) + {b}^(2) + 20`

• 
  `{a}^(2) + {b}^(2) = 64 - 20`

• 
  `a {}^(2) + b {}^(2) = 44`