If (x+y)^2=9 and (x-y)^2=4 then x^5+y^5=?

Answer 1

what is x^5 +y^5?? about 14.5291

rounded to 4 decimal places

expand x^2 +2xy +y^2 = 9, x^2 -2xy +y^2 = 4

add them

2x^2 +2y^2 = 13

x^2 +y^2 = 13/2 = 6.5

x = 5/4(79/16)^(1/3) raised to 5 power

y = (79/16)^(1/3) raise to 5 power

sum them = about 14.5291