For what real values of $c$ is $x^2 - 8x - 4x + c + x^2 - 20x + x^2$ the square of a binomial?
First, let's combine all like terms.
We have \(3x^{2}-32x+c\) as the simplified version.
Now, let's divide everything by 3 to make our lives idea.
We get \(x^2-\frac{32}{3}x+c/3\).
Now, we divide 32/3 by 2, and we get \(16/3\)
Now, \((16/3)^2 = 256/9\).
Now, we have
\(c/3 = 256/9\\ c=253/3\)
Thanks! :)
First, let's combine all like terms.
We have \(3x^{2}-32x+c\) as the simplified version.
Now, let's divide everything by 3 to make our lives idea.
We get \(x^2-\frac{32}{3}x+c/3\).
Now, we divide 32/3 by 2, and we get \(16/3\)
Now, \((16/3)^2 = 256/9\).
Now, we have
\(c/3 = 256/9\\ c=253/3\)
Thanks! :)