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Q.1) If a²+b² = 73 and ab = 24, find (i) a+b (ii) a-b​

User Bkausbk
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2 Answers

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Explanation:

the answer is in the image above

Q.1) If a²+b² = 73 and ab = 24, find (i) a+b (ii) a-b​-example-1
User CRey
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5 votes

Explanation:

Given:

  • a² + b² = 73 and
  • ab = 24

We know that:

(a + b)² = a² + 2ab + b²

Now , substituting the value in equation,we get.

=> (a + b)² = 73 + 2 × 24

=> (a + b)² = 73 + 48

=> (a + b)² = 121

=> (a + b) = √121 = ±11. ----------(1)

Again:

(a - b)² = a² - 2ab + b²

=> (a - b)² = 73 - 48

=> (a - b)² = 25

=> (a - b)² = √25 = ±5. -------(2)

Hope this helps!

User Darkylmnx
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