Question

7. If a - b = 5, a + b2 = 49, find the value of ab.
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Answer 1

Answer:

ab = 12

Step-by-step explanation:

(a-b)² = a²+b² -2(ab)

=> 2 ab = a²+b² - (a-b)²

=> 2ab = ( 49) - (5)²

=> 2ab = 49-25

=> 2ab = 24

=> ab = 24/2

=> ab = 12

Answer 2

Answer:

12

Step-by-step explanation:

Given

a - b = 5

a² + b² = 49

Solution

(a - b)² = a² + b² - 2ab

(5)² = 49 - 2ab

25 = 49 - 2ab

2ab = 49 - 25

2ab = 24

ab = 12