Question

If a+b = 11 and ab = 24 , find a^2 + b^2 .​

Answer 1

Answer:

73

Step-by-step explanation:

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ = > {11}^{2} = {a}^{2} + {b}^{2} + 2 \times 24 \\ = > 121 = {a}^{2} + {b}^{2} + 48 \\ = > 121 - 48 = {a}^{2} + {b}^{2} \\ = > {a}^{2} + {b}^{2} = 73$

Answer 2

Answer:

73

Step-by-step explanation:

(a^2 + b^2)= (a+b) (a+b) - 2ab

= 11 × 11 - 2 × 24

=121 - 48

= 73