Question

2. If x2 - y2 = 7 and x - y = 1, then
the length of a diagonal of a
rectangle with length and width
respectively x cm and y cm will
be​

Answer 1

Answer:

5cm

Step-by-step explanation

Given in question that,

x^2-y^2= 7    and

x-y= 1   ..... A

Now x^2-y^2= 7

can be written as (x+y)(x-y)= 7

and the given value of x-y = 1 , so put this x-y value here to get x+y

so, (x+y)(1)= 7

therefor the value of x+y = 7 ...... B

Now solve eq A and B by adding this two eq

(x-y)+(x+y)= 1+7

2x = 8

or x= 4 and y= 3

as per given in question Length = 4 and width = 3

so, Diagonal can we find by making this right angle triangle

so, D=sqrt (4^2+3^2)

so, Diagonal=5