Question

2.) What value for c will make the expression a perfect square trinomial?

Answer 1

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 $\frac{49}{4}$

Answer 2

49/4 is the answer :)))