Question

If x2 + y2 = 100 and xy = 9.5, find x – y

Answer 1

Answer:

${x}^{2} + {y}^{2} = 100 \\ \\ xy = 9.5 \\ \\ \\ find \\ x - y = \\ \\ so = \\ \\ {x}^{2} + {y}^{2} = 100 \\ \\ \\ (x - y)^{2} + 2xy = 100 \\ \\ \\ = = > > ( x - y)^{2} = 100 - 2 \times 9.5 \\ \\ \\ = > {(x - y)}^{2} = 100 - 19 \\ \\ \\ \\ ( { x - y)}^{2} = 81 \\ \\ \\ x - y = + - (9)$

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Answer 2

Answer:

x-y=9

Step-by-step explanation:

Given:-

x²+y²=100 , xy=9.5

To Find:-

x-y

Formula Applied:-

(x-y)²=x²+y²-2xy

Solution:-

(x-y)²=(x²+y²)-2xy

(x-y)²=100-2(9.5)

(x-y)²=100-19

(x-y)²=81

x-y=$\sqrt{81}$

x-y=9