If x ³ +y ³ = and x =y , then x²+y²=

Step-by-step solution

x ³ +y ³ = and x =y Equation (i) may be written as x ² +y ³ = y ² +y ³ = y ( ² + ² )= y = y= Putting the value of y from (iii) in (ii), we get x = x = (iv) Squaring (iii) and (iv) and adding, we get x ²+ y ²= ² + ² =1