Respuesta :

Answer : [tex] \frac{49}{4} [/tex]

Given expression is [tex] x^2 - 7x + c [/tex]

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 [tex] \frac{-7}{2} [/tex]

Square of [tex] \frac{-7}{2} [/tex] is [tex] (\frac{-7}{2})^2 [/tex] = [tex] \frac{49}{4} [/tex]

So the expression becomes [tex] x^2 - 7x + [tex] \frac{49}{4} [/tex] that gives perfect square trinomial

Hence , the value of 'c' is [tex] \frac{49}{4} [/tex]


MrRoyal

The value for c will make the expression a perfect square trinomial is 49/4

How to determine the value of c?

The equation is given as:

x^2 - 7x + c

Take the coefficient of x

k = -7

Divide it by 2

k/2 = -7/2

Square both sides

(k/2)^2 = (-7/2)^2

The above represents the value of c.

So, we have:

c = (-7/2)^2

Evaluate

c = 49/4

Hence, the value for c will make the expression a perfect square trinomial is 49/4

Read more about trinomials at:

https://brainly.com/question/1538726

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