book Maths Puzzle Numerical Ability

Let T be a linear operator in V. Prove that T^2 = 0 if and only if the range T is a subset of null T.

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(1/3)y2 + 12=5x where x=3

Note: the 2 next to the y means y to the second power. Thanks. A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eighth to his daughter and the remainder, an amount P32,000 to charity. Find the amount of the estate.