Question

if x+1/3=5 find the value of x3+1/x3​

Answer 1

Answer:

110

Step-by-step explanation:

x+1/x=5

$(x + 1 \div x)^{3}$

=

$x ^{3} + 1 \div x ^{3} + 3x \times 1 \div x(x + 1 \div x)$

x^3+1/x^3+3(x+1/x)=(5^3)

x^3+1/x^3+3×5=125

x^3+1/x^3=125-15

x^3+1/x^3=110