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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. $\newline$ $k^2 - 20k + \_\_\_\_\_$

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Complete the square

Full solution

Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

k^2 - 20k + \_\_\_\_\_

Identify values of $a$ , $b$ , $c$ : Identify the values of $a$ , $b$ , and $c$ in the quadratic expression. $\newline$ Leading coefficient ( $a$ ): $1$ $\newline$ Coefficient of linear term ( $b$ ): $-20$ $\newline$ Constant ( $c$ ): ?
Determine completion value: Determine the value needed to complete the square. $\newline$ To complete the square of $k^2 - 20k$ , add $(-20/2)^2$ . $\newline$ Perfect square quadratic: $k^2 - 20k + (-20/2)^2$
Calculate missing value: Calculate $(-20/2)^2$ to find the missing value in $k^2 − 20k + \_\_$ . $\newline$ $(-20/2)^2$ $\newline$ $= (-10)^2$ $\newline$ $= 100$ $\newline$ Missing value: $100$

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