Question

x^4 + y^4, जबकि x - y = 8 और xy = 15​

Answer 1

Step-by-step explanation:

Given:

X - Y = 8 and X - Y = 15

To find:

the value of X^4 - Y^4 = ?

Solution:

X^4 + Y^4 = (X^2)^2 + (Y^2)^2

= (X^2 + Y^2)^2 - 2 × X^2 × Y^2

= {(X - Y)^2 + 2XY}^2 - 2(XY)^2

= {(8)^2 + 2 × 15}^2 - 2 × (15)^2

= {64 + 30}^2 - 2 × 225

= (94)^2 - 450

= 8836 - 450

= 8386

Hence, the value of X^4 + Y^4 is 8386.