Answer:
1. y=4
Step-by-step explanation:
5y²=80
y²=80/5
y²=16
y=√16
y=4
1. 5y² = 80
5y²/5 = 80/5
y² = 16
√y² = √16
y = 4
2. (x + 8)² = 169
√(x + 8)² = √169
x + 8 = 13
x = 13 - 8
x = 5
3. 2y² - 98 = 0
2y² = 98
2y²/2 = 98/2
y² = 49
√y² = √49
y = 7
4. (3x + 2)² = 49
√(3x + 2)² = √49
3x + 2 = 7
3x = 7 - 2
3x = 5
3x/3 = 5/3
x = 5/3
5. 3q² - 147 = 0
3q² = 147
3q²/3 = 147/3
q² = 49
√q² = √49
q = 7
6. 9(4 - x)² = 27
9(4 - x)²/9 = 27/9
(4 - x)² = 3
√(4 - x)² = √3
4 - x = √3
x = 4 - √3
7. (k - 4)² = 169
√(k - 4)² = √169
k - 4 = 13
k = 13 + 4
k = 17
8. -(x + 1)² = -81
-(x + 1)²/-1 = -81/-1
(x + 1)² = 81
√(x + 1)² = √81
x + 1 = 9
x = 9 - 1
x = 8
9. (k - 6)² = 121
√(k - 6)² = √121
k - 6 = 11
k = 11 + 6
10.;;; 3/2(x - 10)² = 1/2
[3/2(x - 10)²]/3/2 = 1/2/3/2
(x - 10)² = 1/3
√(x - 10)² = √1/3
x - 10 = √1/3
x = 10 + √1/3
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Answers & Comments
Answer:
1. y=4
Step-by-step explanation:
5y²=80
y²=80/5
y²=16
y=√16
y=4
Answer:
1. 5y² = 80
5y²/5 = 80/5
y² = 16
√y² = √16
y = 4
2. (x + 8)² = 169
√(x + 8)² = √169
x + 8 = 13
x = 13 - 8
x = 5
3. 2y² - 98 = 0
2y² = 98
2y²/2 = 98/2
y² = 49
√y² = √49
y = 7
4. (3x + 2)² = 49
√(3x + 2)² = √49
3x + 2 = 7
3x = 7 - 2
3x = 5
3x/3 = 5/3
x = 5/3
5. 3q² - 147 = 0
3q² = 147
3q²/3 = 147/3
q² = 49
√q² = √49
q = 7
6. 9(4 - x)² = 27
9(4 - x)²/9 = 27/9
(4 - x)² = 3
√(4 - x)² = √3
4 - x = √3
x = 4 - √3
7. (k - 4)² = 169
√(k - 4)² = √169
k - 4 = 13
k = 13 + 4
k = 17
8. -(x + 1)² = -81
-(x + 1)²/-1 = -81/-1
(x + 1)² = 81
√(x + 1)² = √81
x + 1 = 9
x = 9 - 1
x = 8
9. (k - 6)² = 121
√(k - 6)² = √121
k - 6 = 11
k = 11 + 6
k = 17
10.;;; 3/2(x - 10)² = 1/2
[3/2(x - 10)²]/3/2 = 1/2/3/2
(x - 10)² = 1/3
√(x - 10)² = √1/3
x - 10 = √1/3
x = 10 + √1/3