Name______________________________________________ Date___________________ Block______
HW Solving Quadratic Equations Taking Square Roots
and Using the Quadratic Formula
Solve using square roots.
1.
x
2
81
2.
x
2
9
3.
x
2
64
________________________ ________________________ ________________________
4.
x
2
44 188
5.
x
2
12 37
6.
x
2
10 131
________________________ ________________________ ________________________
7.
3x
2
25 73
8.
5x
2
9 116
9.
________________________ ________________________ ________________________
10.
4x
2
11 25
11.
x
2
13 87
12.
3x
2
200 8
________________________ ________________________ ________________________
Solve. Round to the nearest hundredth.
13.
x
2
50
14.
x
2
8 20
15.
2x
2
21 81
________________________ ________________________ ________________________
16. (x – 4)
2
– 3 = 22 17. 2(x + 3)
2
= 98 18. (x + 1)
2
+ 7 = 19
________________________ ________________________ ________________________
19. A triangle has a base that is 3 times the height. The area of the
triangle is 63 cm
2
. Find the height of the triangle. Round your
answer to the nearest tenth of a centimeter.
A
1
2
bh
.
________________________
20. The length of a rectangle is 4 times the width. The area of the
rectangle is 850 square inches. Find the width. Round to
the nearest tenth of an inch. ________________________
Name______________________________________________ Date___________________ Block______
Solve using the quadratic formula.
21. x
2
2x 35 0 22. 3x
2
7x 2 0
23. x
2
x 20 0 24. 2x
2
9x 5 0
Find the number of real solutions of each equation using the
discriminant.
25. 4x
2
20x 25 0 26. 15x
2
8x 1 0
27. x
2
9x 36 0 28. 25x
2
4 0