©Y i270s1a2k QKzuhttaZ JSNo6fvtLwSaarIen PLfL6Cf.I R 8Agl7lb nrZiIgthvtFso wrae4speLrJvoepd8.7 o 5MGaedXen ewOiOt4hK IIKnLf7idnuiut4ef WAUlpgleGbErQaG m2i.U Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____
Date________________
Using the Quadratic Formula
Solve each equation with the quadratic formula.
1) v2 + 2v − 8 = 0 2) k2 + 5k − 6 = 0
3) 2v2 − 5v + 3 = 0 4) 2a2 − a − 13 = 2
5) 2n2 − n − 4 = 2 6) b2 − 4b − 14 = −2
7) 8n2 − 4n = 18 8) 8a2 + 6a = −5
9) 10x2 + 9 = x 10) n2 = 9n − 20
11) 3a2 = 6a − 3 12) x2 = −3x + 40
13) 9x2 − 11 = 6x 14) 4a2 − 8 = a
15) 14m2 + 1 = 6m2 + 7m 16) 4x2 + 4x − 8 = 1
©k a2V0w1H2O mKVubtaaM lStoGf3tMwBarrkeN oLVLYCf.O O rA8lblJ JrIiVgPhPtqss HrJeKsuewrrvUeid3.B m XM5aDdteX rw6i8tLhS BIFnbfoicndi4t7ee lAnl7gxe3brrvaa P29.C Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____
Date________________
Using the Quadratic Formula
Solve each equation with the quadratic formula.
1) v2 + 2v − 8 = 0
{2, −4}
2) k2 + 5k − 6 = 0
{1, −6}
3) 2v2 − 5v + 3 = 0
{
32, 1}
4) 2a2 − a − 13 = 2
{
3, −52}
5) 2n2 − n − 4 = 2
{
2, −32}
6) b2 − 4b − 14 = −2
{6, −2}
7) 8n2 − 4n = 18
{
1 + 37
4 , 1 − 37
4
}
8) 8a2 + 6a = −5
{
−3 + 8i 31, −3 − 8i 31}
9) 10x2 + 9 = x
{
1 + i20359, 1 − i20359}
10) n2 = 9n − 20
{5, 4}
11) 3a2 = 6a − 3
{1}
12) x2 = −3x + 40
{5, −8}
13) 9x2 − 11 = 6x
{
1 + 23 3, 1 − 23 3}
14) 4a2 − 8 = a
{
1 + 129
8 , 1 − 129
8
}
15) 14m2 + 1 = 6m2 + 7m
{
7 + 17
16 , 7 − 17
16
}
16) 4x2 + 4x − 8 = 1
{
−1 + 10
2 , −1 − 10
2
}
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