Find the value for c, that would make x^2-12x+c, a perfect square

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(1) Answers

Sarahweir

Complete the square to find the value of this constant:
4x² + 12x + c = (2x + 3)²
4x² + 12x + c = 4x² + 12x + 9
By comparing coefficients, it is easy to see that c = 9.