Asked by Anonymous
(a) Complete the square by writing in the form . Note: the numbers and can be positive or negative.
x^2-14x-17=(x-7)^2+
(b) Solve the equation by completing the square or using the quadratic formula. If there is more than one correct answer, enter your answers as a comma separated list. If there are no solutions, enter NONE.
x^2-14x-17=0
I keep getting this wrong but I don't know why.help please
x^2-14x-17=(x-7)^2+
(b) Solve the equation by completing the square or using the quadratic formula. If there is more than one correct answer, enter your answers as a comma separated list. If there are no solutions, enter NONE.
x^2-14x-17=0
I keep getting this wrong but I don't know why.help please
Answers
Answered by
Reiny
x^2 - 14x + .... = 17 + ....
x^2 - 14x <b>+ 49</b> = 17<b>+ 49</b>
(x-7)^2 = 66
x-7 = ± √66
x = 7 ± √66
by formula:
x = (14 ± √(14^2 - 4(1)(-17))/2
= (14 ± √264)/2
= (14 ± 2√66)/2
= 7 ± √66
When the coefficient of x^2 is 1 and the middle term is even, I always use "completing the square" rather than the formula. Notice you get the answer already in simplified form
x^2 - 14x <b>+ 49</b> = 17<b>+ 49</b>
(x-7)^2 = 66
x-7 = ± √66
x = 7 ± √66
by formula:
x = (14 ± √(14^2 - 4(1)(-17))/2
= (14 ± √264)/2
= (14 ± 2√66)/2
= 7 ± √66
When the coefficient of x^2 is 1 and the middle term is even, I always use "completing the square" rather than the formula. Notice you get the answer already in simplified form
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.