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12-51.
  1. Solve the following quadratic equations by completing the square, if possible. Leave your answers in exact form. Check your solution(s). Homework Help ✎

    1. x2 − 14x = −24

    2. x2 + 6x − 9 = 0

    3. x2 − 198x + 9797 = 0

    4. x2 − 9x = 15.75

Add 49 to both sides.

x² − 14x + 49 = −24 + 49

Simplify.( x − 7 )² = 25

Write two equations.

x − 7 = 5 x − 7 = −5

x = 12 or −2

Add 9 to both sides.

Follow the steps in part (a).

Follow the steps in part (b).

x = 97 or 101

Follow the steps in part (a).