Download solving by square roots.notebook

solving by square roots.notebook
October 17, 2016
Topic: Quadratics
Aim: How do we solve quadratic equations without factoring?
Do Now:
1a) How many numbers can be squared to equal 25? If any, what are the #s?
1b) How many numbers can be squared to equal 3? If any, what are the #s?
2a) Solve x2 - 25 = 0 by factoring
2b) Solve x2 - 25 = 0 by isolating x2
Mar 4­9:25 PM
Tell which of the following equations can be solved
without factoring. How can you tell?
1) y 2 - 7 = 0
2) m2 - 7m + 6 = 0
3) x2 - x = 12
4) d2 = 13d + 1
5) 3 - c 2 = 8
6) x 2 - 4x = 0
Mar 4­9:37 PM
1
solving by square roots.notebook
October 17, 2016
Solve each equation. If necessary leave solution in
simplest radical form.
2) 6y2 - 12 = 0
1) 9x2 = 1
4) x = 4
9 x
3) 12 - d2 = 7
Mar 5­9:31 AM
Oct 17­12:18 PM
2
solving by square roots.notebook
5) x2 - 63 = 0
October 17, 2016
6) 2x 2 = 14
Mar 5­9:31 AM
8)
7) 9x2 + 6 = 22
5+x2 =81
Mar 5­9:31 AM
3
solving by square roots.notebook
October 17, 2016
Mixed Practice: Solve each equation.
9) m2 - 7m + 6 = 0
10) d2 - 4 = 5
11) 5y2 - 19 = 21
12) 16x2 = 1
13) 4x2 = 9
14) 3y2 - 8 = 13
Mar 5­9:34 AM
4