densieee densieee

12-08-2021
Mathematics

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If(a-b) =4 and ab=2,find the value of a^2+b^2

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jimrgrant1 jimrgrant1

12-08-2021

Answer:

a² + b² = 20

Step-by-step explanation:

Given

(a - b) = 4 ← square both sides

(a - b)² = 4²

a² - 2ab + b² = 16 ← substitute ab = 2

a² - 2(2) + b² = 16

a² - 4 + b² = 16 ( add 4 to both sides )

a² + b² = 20

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