1.

If a+b = 9 and ab = 10, find the value of a^2 + b^2

Answer»

ANSWER:

The Answer Is 61

Step-by-step EXPLANATION:

ab=10

(a + b) = 9

Squaring Both The SIDES

{(a + b)}^{2} = {9}^{2}

( {a}^{2} + 2ab + {b}^{2} ) = 81 \\ {a}^{2} + 2 \times (ab) + {b}^{2} = 81 \\ {a}^{2} + 2 \times 10 + {b}^{2} = 81 \\ {a}^{2} + 20 + {b}^{2} = 81 \\ {a}^{2} + {b}^{2} = 81 - 20 \\ {a}^{2} + {b}^{2} = 61


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