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Convert the expression x 2 −10x−1 to power form.

Question

Convert the expression x 2 −10x−1 to power form.

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Solution

The given expression is in quadratic form (ax^2 + bx + c). To convert it to power form, we need to complete the square. Here are the steps:

  1. Rearrange the equation: x^2 - 10x = 1
  2. Take half of the coefficient of x, square it and add it to both sides of the equation. Half of -10 is -5, and -5 squared is 25. So, we add 25 to both sides: x^2 - 10x + 25 = 1 + 25
  3. Simplify the equation: (x - 5)^2 = 26
  4. So, the power form of the given expression is (x - 5)^2 = 26.

This problem has been solved

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