Problem

What is the c-value needed to complete the square for the following quadratic: $x^{2}-5 x-12=0$ ? $-5$ $-5 / 2$ 12 $25 / 4$

Solution

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 \(\boxed{6.25}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8412/

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