Question

If a+b=7 and ab=11 then find the value of a-b

Answer 1

Answer:

a+b=7 , ab=11fund the value of a-b

Answer 2

The value of a-b is 2.2.

Given - (a+b) and (ab)

Find - Value of (a-b)

Solution - The two formulas will be used to find the value of (a-b).

(a+b)² = a² + b² + 2ab - Formula 1

(a-b)² = a² + b² - 2ab - Formula 2

Keep the values in formula 1

7² = a² + b² + 2*11

49 = a² + b² + 22

a² + b² = 49 - 22

a² + b² = 27

Keep the values in formula 2

(a-b)² = 27 - 2*11

(a-b)² = 27 - 22

(a-b)² = 5

a-b = ✓5

a-b = 2.2

Hence, the value of a-b is 2.2

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