Question

Thirty decreased by one half o f a number is one sixth of the square of the number. Find the numbers.

Answer 1

30 - 1/2(x) = 1/6(x^2)

Answer 2

one half of a number means x/2

one sixth of the square of the number means \(\frac{x^2}{6}\)

therefore it's just \[30 - \frac{x}{2} = \frac{x^2}{6}\]

Answer 3

Solve this equation.

Answer 4

you can multiply the whole equation by the LCM to get rid of the denominators

Answer 5

Can you find it by using this method?