what value for c will make the expression a perfect square trinomial?\n$x^{2}-7x + c$\n$-\frac{49}{4}$\n$-\fr…
what value for c will make the expression a perfect square trinomial?\n$x^{2}-7x + c$\n$-\frac{49}{4}$\n$-\frac{7}{2}$\n$\frac{7}{2}$\n$\frac{49}{4}$
Answer
Explanation:
Step1: Recall the formula for perfect - square trinomial
For a quadratic expression of the form $x^{2}+bx + c$ to be a perfect - square trinomial, $c=\left(\frac{b}{2}\right)^{2}$.
Step2: Identify the value of $b$
In the given expression $x^{2}-7x + c$, $b=-7$.
Step3: Calculate the value of $c$
$c=\left(\frac{-7}{2}\right)^{2}=\frac{49}{4}$
Answer:
$\frac{49}{4}$