1.

If x + y = 5 and xy = 6, find the value of x - y. Given that x > y1. 12. 213. -14. 13

Answer» Correct Answer - Option 1 : 1

Given-

x + y = 5

xy = 6

Formula Used-

(a + b)2 = (a - b)2 + 4ab

Calculation-

x + y = 5

⇒ (x + y)2 = 25

⇒ (x - y)2 + 4xy = 25

⇒ (x - y)2 = 25 - 4 × 6 

⇒ (x - y)2 = 1

⇒ x - y = 1    [∵ x > y]

∴ The value of x - y is 1



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