The square root of twice a number is equal to one-third of that number. Find the number.
The number = N.
sqrt(2N) = N/3.
Square both sides:
2N = N^2/9,
18N = N^2, N^2 - 18N = 0,
N(N-18) = 0, N = 0, and 18.
sqrt(2N) = N/3.
Square both sides:
2N = N^2/9,
18N = N^2, N^2 - 18N = 0,
N(N-18) = 0, N = 0, and 18.