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15 January, 11:53

The square of twice 45

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  1. S
    15 January, 12:45
    0
    M2. A (Estimated Difficulty Level: 3)

    Try plugging in some real numbers until you get one of the answers. For example, if you choose 4, then calcu - late 2*4+42 + 1 = 25. The answers don’t list 25, so choose another integer to start with. If you choose 5, you’ll get 2 * 5 + 52 + 1 = 36, so the answer is A.

    If you are an algebra fiend, you may notice that if the integer is x, then the calculation is 2x+x2+1 = (x+1) 2, so the final sum must be the square of an integer. Only answer A is a perfect square.
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