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

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Answer

Final Answer: The c-value needed to complete the square for the quadratic $x^{2} - 5 x - 12 = 0$ is $6.25$

Steps

Step 1 ：Given the quadratic equation $x^{2} - 5 x - 12 = 0$

Step 2 ：The equation is in the form $x^{2} + b x + c = 0$

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 $6.25$