Question

x square - 92 y square is equal to 1​

Answer 1

Answer:

there are no roots of the equation

Answer 2

Answer:

Soln :

There are 2 answers for this question

Answer no. 1

let us assume x = 1 ,

y = 1² - ( 92 × 0² )

= 1 - 0

= 0

Answer no. 2

Let's solve this

x² - 92y² = 1

x² - 1 = 92y²

( x + 1 ) ( x - 1 ) = 92y²

y² = ( ( x + 1 ) ( x - 1 ) ) ÷ 92

LCM of 92 = 2 x 2 x 23

y² = ( ( x + 1 ) ( x - 1 ) ) ÷ ( 2 x 2 x 23 )

Now let us assume that x = 24y² = ( ( 24 + 1 ) ( 24 - 1 ) ) ÷ 2 x 2 x 23

= ( 25 × 23 ) ÷ ( 2 x 2 x 23 )

= 25 / 4 ( sq. root on both sides )

y = 5 / 2

Ans : x = 24 ; y = 5 / 2 .

Hope this answer helps you all