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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
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Answer is A. Add 8 to both sides of the equation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you explain it, if you don't mind?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Have you heard of the process of completing the square?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And then you have the equation in your form: (x7)^2=8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh that makes so much sense, thank you so much! That helps a lot.
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