Form the perfect square trinomial in the process of completing the square. What is the value of c?

x^2 + 3x + c = 7/4 + c

c =

2 answers

Take 1/2 of the middle term and square it to find c.

3/2 squared = 9/4 = c

When you factor
(x +3/2)(x + 3/2)

check: x^2 + 3/2 x + 3/2 x + 9/4

x^2 + 6/2 x + 9/4
x^2 + 3x + 9/4
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