If a2 + b2 = 16 and 2ab = 7.Find all the possible values of (a

If a² + b² = 16 and 2ab = 7.Find all the possible values of (a - b)

3, -3

2, -2

1, -1

3, -1

Correct answer is A

a² + b² = 16 and 2ab = 7

To find all possible values = (a - b)² + b² - 2ab

Substituting the given values = (a - b)²

= 16 - 7

= 9

(a - b) = \(\pm\)9

= \(\pm\)3

OR a - b = 3, -3

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If a2 + b2 = 16 and 2ab = 7.Find all the possible values of (a - b)

Aptitude Tests

If a² + b² = 16 and 2ab = 7.Find all the possible values of (a - b)