CPM Homework Help : INT2 Problem 7-118

Solve each of the following by completing the square.

$0 = x^2 + 8x - 33$

$x^2 - 2x + 5 = 0$

$x^2 - 7x - 3 = 0$

Hint:

Use an area model if you need help.

Step 1 (a):

Equation: Generic rectangle = 33. Rectangle: Left edge labeled, x, + 4, bottom edge labeled, x, + 4. Interior labeled: top left, x squared, top right, 4, x, bottom left, 4, x, bottom right, blank

Step 2 (a):

Added to rectangles, Interior bottom right, + 16. Added to equation, right side, + 16.

Step 3(a):

$(x+4)^{2}=49$

Step 4(a):

$x+4=\pm7$

Step 5 (a):

$x=-11\text{ or }3$