anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Answer is A. Add 8 to both sides of the equation.
anonymous
  • anonymous
Can you explain it, if you don't mind?
Sepeario
  • Sepeario
Have you heard of the process of completing the square?

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Sepeario
  • Sepeario
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.
Sepeario
  • Sepeario
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.
Sepeario
  • Sepeario
And then you have the equation in your form: (x-7)^2=8
anonymous
  • anonymous
Ohhh that makes so much sense, thank you so much! That helps a lot.

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