Question

If xy = 6 and x+y = 5 then the value of x^4 + y^4 is : ​

Answer 1

Answer:

         97

Step-by-step explanation:

x² + y²  =  (x + y)² - 2xy  =  5² - 2×6  = 25 - 12 = 13

x⁴ + y⁴  =  (x² + y²)² - 2(xy)²  =  13² - 2×6²  =  169 - 72 = 97