Question

If a + b = 9 and ab = -22. Find (i) a – b (ii) a2- b2

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer: i) a - b = 13

              ii) a² - b² = 117

Given: a + b = 9

           ab = -22

To Find: i) a - b

             ii) a² - b²

Solution:

We know,

(a - b)² = (a + b)² -4ab

Placing the values of (a + b) and ab,

(a - b)² = (9)² - 4 (-22)

           = 81 +88

           = 169

∴ a - b = $\sqrt{169}$

       = 13

We know,

a² - b² = (a + b) (a - b)

          = 9 × 13

          = 117

Answer: i) a - b = 13

             ii) a² - b² = 117

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