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What is the missing constant term in the perfect square that starts with x2+14xx^2+14x?

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Full solution

Q. What is the missing constant term in the perfect square that starts with x2+14xx^2+14x?
  1. Identify values of aa and bb: Identify the values of aa and bb in the quadratic expression x2+14x+?x^2 + 14x + ?.\newlineHere, a=1a = 1 (coefficient of x2x^2) and b=14b = 14 (coefficient of xx).
  2. Find perfect square value: To complete the square, we need to find the value that makes the expression a perfect square. This value is found by taking (b2)2(\frac{b}{2})^2.\newlineCalculate (142)2(\frac{14}{2})^2 to find the missing constant term.
  3. Calculate missing constant term: Perform the calculation: (142)2=(7)2=49(\frac{14}{2})^2 = (7)^2 = 49.\newlineThe missing constant term is 4949.

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