What number needs to be added to both sides of the equation to complete the square? x^2-9x=8
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the quadratic equation:
x^2 - 9x = 8
Determine the number that must be added to both sides in order to complete the square.
Solution:
Since we have a positive eight on the other side of the equation, we can simply transpose it to the other side, but the given condition states that we need to add on both sides, therefore this may mean that we need to cancel out 8. To do so, we need to add -8 on both sides of the equation.
x^2 - 9x = 8
x^2 - 9x - 8 = 8 -8
x^2 - 9x - 8 = 0
Final answer:
x^2 - 9x - 8 = 0