U7-21 Completing the Square, Day 1.pdf

Algebra 1-2U7- 21 Completing the Square, Day 1 - Integral RootsName_____________________ Per. ____Objective:To solve quadratic equations with integral roots by completing the square.Quadratic Equation: An equation that can be written In the form ax 2 + bx + c = 0Roots: The solution(s) to a quadratic equationWhat number should be added to each expression to make a perfect square trinomial?1.x2+ 2x2.x2+ 6x3.x2+ 10x4.x2− 4x5.x2+ 16x6.x2− 8x7.x2− 12x8.x2+ 18xFind the solution by completing the square.9.x2+ 10x= − 1610.x2+ 2x= 311.x2+ 16x= − 1512.x2− 16x= − 1513.x2+ 2x= 1014.x2− 8x= − 715.x2− 6x= 2716.x2+ 10x= 1117.x2+ 12x= 13

18.x2− 4x= 2119.x2+ 8x+ 2 = 0 20.x2+ 10x− 11 = 021.x2+ 6x− 7 = 0 22.x2+ 4x− 77 = 0 23.x2+ 6x− 40 = 024.x2− 16x+ 28 = 0 25.x2− 2x− 48 = 0 26.x2− 18x+ 72 = 027.x2+ 16x+ 60 = 0 28.x2−10x− 39 = 0 29.x2+ 14x− 51 = 030.x2+ 20x+ 51 = 0 31.x2+ 2x− 80 = 0 32.x2− 16x+ 60 = 0