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Solving Quadratic Equations Using The Quadratic Formula: N N X X

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Mary Anne Joy Caro
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244 views2 pages

Solving Quadratic Equations Using The Quadratic Formula: N N X X

Uploaded by

Mary Anne Joy Caro
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Elementary Algebra Skill

Solving Quadratic Equations Using the Quadratic Formula


Solve each equation with the quadratic formula.

1) 3n 2 − 5n − 8 = 0 2) x 2 + 10 x + 21 = 0

3) 10 x 2 − 9 x + 6 = 0 4) p 2 − 9 = 0

5) 6 x 2 − 12 x + 1 = 0 6) 6n 2 − 11 = 0

7) 2n 2 + 5n − 9 = 0 8) 3 x 2 − 6 x − 23 = 0

9) 6k 2 + 12k − 15 = −10 10) 8 x 2 − 14 = −11

11) 6k 2 + 2k + 9 = −3 12) 12 p 2 + 9 p − 30 = −10

13) 3 x 2 = −7 x + 136 14) 3n 2 = −n + 14

15) 6v 2 + 3 = −2v 16) 9 p 2 − 7 = 9 p

17) 11k 2 + 4k − 52 = 10k 2 − 7 18) −4a 2 + 18a − 15 = −7a 2 + 9a

19) −4n(n − 2) = 6(n + 3) − 11n 2 20) x( x − 3) = −7 − 10 x


Answers to Solving Quadratic Equations Using the Quadratic Formula

1) {
2
2 , −1
3 } 2) {−3, −7} 3) No solution. 4) {3, −3}

5) {
6 + 30 6 − 30
6
,
6 } 6)
6{
66
,−
6}
66
7) {
−5 + 97 −5 − 97
4
,
4 }
8) {
3 + 78 3 − 78
3
,
3 } 9) {
−6 + 66 −6 − 66
6
,
6 } {
10)
4
6
,−
4
6
}
11) No solution.
12) {
−9 + 1041 −9 − 1041
24
,
24 } { 2
13) 5 , −8
3 }
14) { 2, −2
1
3 } 15) No solution.
16){ 3 + 37 3 − 37
6
,
6 }
17) {5, −9}
18) {
−3 + 29 −3 − 29
2
,
2 } 19) {
−1 + 127 −1 − 127
7
,
7
}

−7 + 21 −7 − 21
20) { , }
2 2

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