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anonymous

  • one year ago

Can someone help me, please? A quadratic equation is shown below: x2 − 14x + 41 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? Add 8 to both sides of the equation Add 9 to both sides of the equation Subtract 8 from both sides of the equation Subtract 9 from both sides of the equation

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  1. anonymous
    • one year ago
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    Answer is A. Add 8 to both sides of the equation.

  2. anonymous
    • one year ago
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    Can you explain it, if you don't mind?

  3. sepeario
    • one year ago
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    Have you heard of the process of completing the square?

  4. sepeario
    • one year ago
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    What you have to do is add half the coefficient of x squared to both sides to 'complete the square' and make it a perfect square.

  5. sepeario
    • one year ago
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    So in your equation where 14 is the coefficient of x, half of 14 is 7, square it then you get 49. Since you already have 41 on the left hand side, you only need to add 8 to complete the square.

  6. sepeario
    • one year ago
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    And then you have the equation in your form: (x-7)^2=8

  7. anonymous
    • one year ago
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    Ohhh that makes so much sense, thank you so much! That helps a lot.

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