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Using Square Roots Warm up
Simplify each.
1.
2.
36
4
25
Solve each.
3. 2x  40  0
4. -6x + 2 = -1
Notes: Using Square Roots
Just think about it:
 3 3  9 
9 3
 3 3  9 
9  3
9  3
(Read as plus or minus 3)
Find the square root of each.
a) 25
b) 289
c) 625
d)
4
9
You can solve quadratic equations by taking the square root of both sides of the equation.
Solve by using square roots and identify how many solutions each has. One, two, or none.
One Solution
Two solutions
Zero real solutions
1. x 2  169
2. x 2  121
3. x 2  0
4. x 2  49
5. x 2  625
6. x 2  7  32
7. x 2  8  41
8. 16 x 2  49  0
9. 36 x 2  1
10. 100 x 2  49  0
11. x 2  15
12. 3x 2  90  0
13. 0  90  x 2
14. 2 x 2  64  0