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If a−b=5 and ab=24, then a2+b2=\text{If } a - b = 5 \text{ and } ab = 24, \text{ then } a^2 + b^2 =If a−b=5 and&nb

Question

$\text{If } a - b = 5 \text{ and } ab = 24, \text{ then } a^2 + b^2 =$

1

Solution

$a - b = 5$

$\text{Squaring both sides}$

$a^2 + b^2 - 2ab = 25$

$a^2 + b^2 = 25 + 2 \times 24$ $= 73$

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