Question

11. If x + y = 13 and xy = 25/4, find x-y​

Answer 1

Answer:

Step-by-step explanation:

x = 13-y

xy = 25/4

(13-y)y = 25/4

-y²+13y-25/4 = 0

y²-13y+25/4 = 0

Multiplying both sides by 4,

4y²-52y+25 = 0

4y²-50y-2y+25 = 0

2y(2y-25)-1(2y-25) = 0

(2y-1)(2y-25) = 0

y = 1/2,25/2

Case 1(y=1/2)

x+y = 13

x = 13-1/2

x = 25/2

x-y = 25/2-1/2

= 24/2 = 12

Similarly, you will do the second case as well.

Hope this helps you.

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Answer 2

Answer:

Step-by-step explanation:(X-Y)²=x²+y²-2xy

                                                       (x+y)²-2xy-2xy

                                                       (x+y)²-4xy

                                                       (13)²-4×25÷4

                                                       169-25

                                                (x-y)²=144

                                                x-y=√144

                                                      =12