Solving Quadratic Equations: Square Root Law, Study notes of Law

Solve each equation by taking square roots. 1) r ... Answers to Solving Quadratic Equations: Square Root Law. 1) {4 6, −4 6}. 2) { 7, − 7}.

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Elementary Algebra Skill
Solving Quadratic Equations: Square Root Law
Solve each equation by taking square roots.
1)
r
2
= 96 2)
x
2
= 7
3)
x
2
= 29 4)
r
2
= 78
5)
b
2
= 34 6)
x
2
= 0
7)
a
2
+ 1 = 2 8)
n
2
− 4 = 77
9)
m
2
+ 7 = 6 10)
x
2
− 1 = 80
11)
4
x
2
− 6 = 74 12)
3
m
2
+ 7 = 301
13)
7
x
2
− 6 = 57 14)
10
x
2
+ 9 = 499
15)
(
p
− 4
)
2
= 16 16)
(
2
k
− 1
)
2
= 9
17)
(
6
x
+ 2
)
2
+ 4 = 28 18)
10
(
x
− 7
)
2
= 440
19)
9
(
2
m
− 3
)
2
+ 8 = 449 20)
4
(
6
x
− 1
)
2
− 5 = 223
pf2

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Elementary Algebra Skill

Solving Quadratic Equations: Square Root Law

    1. r^2 = 96 2) x^2 = Solve each equation by taking square roots.
    1. x^2 = 29 4) r^2 =
    1. b^2 = 34 6) x^2 =
    1. a^2 + 1 = 2 8) n^2 − 4 =
    1. m^2 + 7 = 6 10) x^2 − 1 =
    1. 4 x^2 − 6 = 74 12) 3 m^2 + 7 =
    1. 7 x^2 − 6 = 57 14) 10 x^2 + 9 =
    1. ( p − 4)^2 = 16 16) ( 2 k − 1)^2 =
    1. ( 6 x + 2)^2 + 4 = 28 18) 10 ( x − 7)^2 =
    1. 9 ( 2 m − 3)^2 + 8 = 449 20) 4 ( 6 x − 1)^2 − 5 =

Answers to Solving Quadratic Equations: Square Root Law

1) { 4 6 , −4 6 }^ 2) {^7 , − 7 }^ 3) {^29 , − 29 }^ 4) {^78 , − 78 }

5) { 34 , − 34 } 6)^ {^0 }^ 7)^ {^1 ,^ −1}^ 8)^ {^9 ,^ −9}

9) No solution. 10) { 9 , −9} 11) { 2 5 , −2 5 } 12) { 7 2 , −7 2 }

17) {−1 + 3 6 , −1 − 3 6 } 18) {7 +^2 11 ,^ 7 −^2 11 }^ 19) {^5 ,^ −2}

20) {1 +^6 57 , 1 −^6 57 }