What is the c-value needed to complete the square for the following quadratic: $x^{2}-5 x-12=0$ ?
$-5$
$-5 / 2$
12
$25 / 4$
Answer
Final Answer: The c-value needed to complete the square for the quadratic \(x^{2}-5 x-12=0\) is \(\boxed{6.25}\)
Step 1 ：Given the quadratic equation \(x^{2}-5 x-12=0\)
Step 2 ：The equation is in the form \(x^{2}+bx+c=0\)
Step 3 ：To complete the square, we need to find the value of \(c\) such that the equation can be written in the form \((x-d)^{2}=0\)
Step 4 ：This is achieved when \(c = (b/2)^{2}\)
Step 5 ：In this case, \(b = -5\)
Step 6 ：So, we need to calculate \((-5/2)^{2}\)
Step 7 ：\(b = -5\)
Step 8 ：\(c = 6.25\)
Step 9 ：Final Answer: The c-value needed to complete the square for the quadratic \(x^{2}-5 x-12=0\) is \(\boxed{6.25}\)
