Question

Find the value of x if 10 Cube + x cube is equal to 1 Cube + 12 cube

Answer 1

Answer:

Given 10 ^3 +x^3=1^3+12^3

1000+xcube=1+1728

xcube=1729-1000

x=cube root of 729

x=27

Answer 2

Answer:

x = 9

Step-by-step explanation:

${10}^{3} + {x}^{3} = {1}^{3} + {12}^{3} \\ 1000 + {x}^{3} = 1 + 1728 \\ 1000 + {x}^{3} = 1729 \\ {x}^{3} = 1729 - 1000 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = \sqrt[3]{ {9}^{3} } \\ x = {9}^{ \frac{3}{3} } \\ x = 9$