Answer : \(\frac{49}{4}\)
Given expression is \(x^2 - 7x + c\)
To make perfect square trinominal we use completing the square method
In completing the square method we add and subtract the half of square of coefficient of middle term
Here coefficient of middle term is -7
Half of -7 is \(\frac{-7}{2}\)
Square of \(\frac{-7}{2}\) is \((\frac{-7}{2})^2\) = \(\frac{49}{4}\)
So the expression becomes \(x^2 - 7x + [tex] \frac{49}{4}\) that gives perfect square trinomial
Hence , the value of 'c' is \(\frac{49}{4}\)
