Question

What value for c will make the expression a perfect square trinomial? x2 – 7x + c negative StartFraction 49 Over 4 EndFraction negative seven-halves seven-halves StartFraction 49 Over 4 EndFraction

Answer 1

Answer: $c=\frac{49}{4}$

Step-by-step explanation:

You can find the value of "c" that will make it a perfect square trinomial by Completing the square.

Given the following expression provided in the exercise:

$x^2 - 7x + c$

You can notice that it is written in this form:

$ax^2-bx+c$

Then, you can identify that the coefficient "b" is:

 $b=-7$

Since to complete the square you must add and subtract the half of square of coefficient "b", you can conclude that:

$c=(\frac{b}{2})^2$

Therefore, substituting "b" into $c=(\frac{b}{2})^2$, you get:

$c=(\frac{-7}{2})^2\\\\c=\frac{49}{4}$

Answer 2

Answer:

49|4

Step-by-step explanation: