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Formula for x^2+y^2

If a2+b2=10...

Question

If $a^{2} + b^{2} = 10$ and $a b = 3$ , then find $a - b$ .

A

2

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B

4

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C

6

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D

10

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Solution

The correct option is A 2
Formula ${(a - b)}^{2} = a^{2} + b^{2} - 2 a b$
Given, $a^{2} + b^{2} = 10$ and $a b = 3$
So, ${(a - b)}^{2} = a^{2} + b^{2} - 2 a b = 10 - 2 \times 3 = 10 - 6 = 4$
$=> a - b = \sqrt{4} = 2$

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