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Answer:
a^2+3a+2
Step-by-step explanation:
(a+1)(a+2)
a(a+2)+1(a+2)
a^2+2a+a+2
a^2+3a+2
(x - 2)² + 1 = 0
(x - 2)(x - 2) + 1 = 0
x(x - 2) - 2(x - 2) + 1 = 0
x(x) - x(2) - 2(x) + 2(2) + 1 = 0
x² - 2x - 2x + 4 + 1 = 0
x² - 4x + 4 + 1 = 0
x² - 4x + 5 = 0
x = <u>-(-4) ± √((-4)² - 4(1)(5))</u>
2(1)
x = <u>4 ± √(16 - 20)</u>
2
x = <u>4 ± √(-4)
</u> 2<u>
</u> x = <u>4 ± 2i</u><u>
</u> 2<u>
</u> x = 2 ± i
x = 2 + i U x = 2 - i
The solution set is {2 ± i}.
<u />
Answer and Step-by-step explanation:
1. 3(5x - 4) = 8x + 2
15x - 12 = 8x + 2
15x - 8x = 2 + 12
7x = 14
x = 2
2. 9(n + 3) = 7n - 3
9n + 27 = 7n - 3
9n – 7n = -3 – 27
2n = – 30
n = –15
3. 2(10 - 6x) = x - 8x
20 - 12x = -7x
20 = -7x + 12x
20 = 5x
x = 4
4. 5a + 4(3a - 8) = 4 + 13a
5a + 12a - 32 = 4 + 13a
17a - 32 = 4 + 13a
17a - 13a = 4 + 32
4a = 36
a = 9
5. 2y + 18 = 12 - 6(y + 7)
2y + 18 = 12 - 6y - 42
2y + 6y = 12 - 42 - 18
8y = -48
y = -6
6. x - (5 - 3x) = 7x + 4
x - 5 + 3x = 7x + 4
4x - 7x= 4 + 5
-3x = 9
x = -3
7. 8(m - 5) = 2(3m - 8)
8m - 40 = 6m - 16
8m - 6m = -16 + 40
2m = 24
m = 12
8. -4(3 - 6d) = 9(2d - 2)
-12 + 24d = 18d - 18
24d - 18d = -18 + 12
6d = -6
d = -1
9. 7(10 - 3w) = 5(15 - 4w)
70 - 21w = 75 - 20w
-21w + 20w = 75 - 70
-w = 5
w = -5
10. 6t + 3(5t - 4) = 12(2t - 5)
6t + 15t - 12 = 24t - 60
21t - 24t = -60 + 12
- 3t = -48
t = 16
11. 2(9x - 1) = 99 - 7(3 - 4x)
18x - 2 = 99 - 21 + 28x
18x - 28x = 99 - 21+2
-10x = 80
x = -8
12. 6(5k - 8) - 20 = 11(2k - 3) + 3k
30k - 48 - 20 = 22k - 33 + 3k
30k - 68 = 25k - 33
30 - 25k = -33 + 68
5k = 35
k = 7
13. - x - (13 + 4x) = -3(5 - 9x) + 2
-x -13 - 4x = -15 + 27x + 2
-5x - 13 = -13 + 27x
-13 + 13 = 27x + 5x
0 = 32x
x = 0
