Question

find the values of x and y,if two ordered pairs (x-2,5) (5,x-y) and equal​

Answer 1

3^2+4^2=5^2=25

Putting x-y=3,x=4, we have (4,1)

x^2+(x-y)^2=5^2

We can consider x,x-y,5 as the sides of a right angled triangle with hypotenuse 5

From triangle inequalities,

x+5>=x-y or,y>=-5

According to question y>=0…..(1)

Again, x+x-y>=5 or, 2x-y>=5 or, 2x-5>=y

From (1), 2x-5>=0 or, x>=2.5

x>=3

Similarly, we can obtain y<=5

Another possible solution is (5,5)

So, possible solutions according to me are (4,1) and (5,5)

Answer 2

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