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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinek2−20k+_____k^2 - 20k + \_\_\_\_\_

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Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinek2−20k+_____k^2 - 20k + \_\_\_\_\_
  1. Identify values of aa, bb, cc: Identify the values of aa, bb, and cc in the quadratic expression.\newlineLeading coefficient (aa): 11\newlineCoefficient of linear term (bb): −20-20\newlineConstant (cc): ?
  2. Determine completion value: Determine the value needed to complete the square.\newlineTo complete the square of k2−20kk^2 - 20k, add (−20/2)2(-20/2)^2.\newlinePerfect square quadratic: k2−20k+(−20/2)2k^2 - 20k + (-20/2)^2
  3. Calculate missing value: Calculate (−20/2)2(-20/2)^2 to find the missing value in k2−20k+__k^2 − 20k + \_\_.\newline(−20/2)2(-20/2)^2\newline=(−10)2= (-10)^2\newline=100= 100\newlineMissing value: 100100

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