algebra 1

find a value for k that will make 4x^2 + 6.4x + k a perfect square. describe the procedure that you used which requires algebra. I have the answer and it is k = 1.6^2 or 2.56 i just don't get how we got there

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asked by Dippy
  1. I gave you the answer yesterday. I picked 2.56 because
    4x^2 + 6.4x + 2.56 = (2x + 1.6)^2
    is a "perfect square", as you can verify by multiplication.

    1.6 is the number which, when multiplied by twice the square root of 4 (the first coefficient) gives the second coefficient, 6.4.

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    posted by drwls

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