Question

Find the value of c that completes the square

Answer 1

Answer:

The value of c that completes the square  $x^2+2x+c$ is 1

Step-by-step explanation:

We need to find the value of c that completes the square  $x^2+2x+c$

The formula used will be: $a^2+2ab+b^2=(a+b)^2$

In the question given the value c can be found by breaking the middle term. we are given 2x while the general formula is 2ab for middle term so,

2(x)(1) = 2x

so, c= 1

Solving:

$x^2+2x+c\\=x^2+2(x)(1)+(1)^2-(1)^2\\=(x+1)^2-1$

So, the value of c that completes the square  $x^2+2x+c$ is 1