{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MAT117Week7DQ2

# MAT117Week7DQ2 - x 1=±sqrt(2 x=±sqrt(2-1 These would be...

This preview shows page 1. Sign up to view the full content.

MAT/117 Week 7 Discussion Question 2 A way to solve quadratic equations is by completing the square in which one takes an equation that does not quite conclude into a squared linear factor, like: x^2+2x=1 First makes it look like a perfect square on one side by adding an appropriate constant to both sides (in this case add 1 to both sides): x^2+2x+1=2 This equation is then factored: (x+1)^2=2 The solutions are found by taking the square root of both sides:
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x+1=±sqrt(2) x=±sqrt(2)-1 These would be hard to find by just guessing. Also, note that there is a +/- symbol, showing that there are two roots, one using the + sign and the other using the – sign. This is usual for quadratics. A quadratic is also known as a second-degree polynomial, it can have at most two distinct roots (which do not have to be real numbers)....
View Full Document

{[ snackBarMessage ]}