Question

If a - b = 3 and a2 + b2 = 29, find the value of ab.

a. 10

b. 12

c. 15

d.

Answer 1

Hi friend
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Your answer
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Given that : - (a - b) = 3 and (a² + b²) = 29

Then,
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ab = ?

Now,
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(a - b)² = a² - 2ab + b²

=> (3)² = (a² + b²) - 2ab

=> 9 = 29 - 2ab

=> 9 - 29 = - 2ab

=> - 20 = - 2ab

=> 2ab = 20

=> ab = 20/2

=> ab = 10

Therefore,
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Answer => option a.10

HOPE IT HELPS

Answer 2

(a-b)2 = a2-2ab+b2
(3)2 = 29-2ab
9=29-2ab
2ab=29-9=20
2ab=20
ab=10
it is option a