Question

if x + 1/x = 5. Then find the value of x³ + 1/x³​

Answer 1

❥$\:{\red{\underline{\underline{\large{\mathtt{GIVEN}}}}}}$

• x + 1/x = 5

❥$\:{\orange{\underline{\underline{\large{\mathtt{TO\:FIND}}}}}}$

• value of x³ + 1/x³

❥$\:{\purple{\underline{\underline{\large{\mathtt{SOLUTION}}}}}}$

→ x³ + 1/x³

→ (x + y)³ - 3 × x × 1/x (x + 1/x)

→ 5³ - 3 × 5

→ 125 - 15

→ 110

★ Hence, the value of x³+1/x³ is 110

Answer 2

Hey your ans is here _____ given x-1/x=5 to find x3-1/x3 now applying identity (x-1/x)3=x3-1/x3-3(x-1/x) (5)3=x3-1/x3-3( 5)