Question

If x= root 6 plus root 7 upon root 7 minus root 6 and y= root 7 minus root 6 upon root 7 plus root 6 then find the value of x square + y square

Answer 1

Step-by-step explanation:

x = √6+√7/√7-√6

y = √7-√6/√7+√6

to find: x²+y²

solution:

x²+y²= (√6+√7/√7-√6)²+(√7-√6/√7+√6)

= (6+7/7-6)+(7-6/7+6)

= (13/1)+(1/13)

= (169/13)+(1/13)

= 169+1/13

= 170/13

Ans. x²+y²=170/13