Download Infinite Algebra 1 - CW52 The Quadratic Formula - Ms. Brown

Algebra 1
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CW52 The Quadratic Formula
Date________________ Period____
Solve each equation with the quadratic formula.
1) 3a 2 - 11a - 104 = 0
2) 4x 2 - x - 21 = 0
3) 5x 2 + 12x - 9 = 0
4) p 2 + 10 p + 6 = 0
5) x 2 + 7x - 63 = -3
6) 3m 2 - 2m - 20 = -4
Find the discriminant of each quadratic equation then state the number and type of solutions.
7) -10n 2 - 7n - 5 = 0
8) 4x 2 - 3x - 1 = 0
9) 3n 2 - 6n + 3 = 0
10) 9a 2 + 6a + 1 = 0
11) -8n 2 + 6n + 5 = 0
12) -2x 2 + 10x = 0
13) -4n 2 + 8n - 4 = 0
14) 2k 2 + 4k = 0
15) -4x 2 - 6x - 3 = 0
16) -x 2 + x - 2 = 0
Solve each equation with the quadratic formula.
17) 6n 2 + 12n - 7 = 0
Find the value of c that completes the square.
18) p 2 + 15 p + c
19) a 2 + 16a + c
Solve each equation by completing the square.
20) n 2 - 14n + 10 = -3
21) v 2 - 4v + 5 = 7
Worksheet by Kuta Software LLC
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22) a 2 + 14a + 56 = 8
Worksheet by Kuta Software LLC
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Answers to CW52 The Quadratic Formula
1) {8, -4.333}
2) {2.42, -2.17}
3) {0.6, -3}
4) {-0.641, -9.359}
5) {5, -12}
6) {2.667, -2}
7) -151; two imaginary solutions
8) 25; two real solutions
9) 0; one real solution
10) 0; one real solution
11) 196; two real solutions
12) 100; two real solutions
13) 0; one real solution
14) 16; two real solutions
15) -12; two imaginary solutions
16) -7; two imaginary solutions
17) {0.472, -2.472}
225
18)
4
19) 64
20) {13, 1}
21) {4.449, -0.449}
22) {-6, -8}
Worksheet by Kuta Software LLC
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