Answer:
x = -1±sqrt(5/3)
Step-by-step explanation:
3x^2+6x=2
We will use completing the square
Factor out a 3 on the left
3(x^2 +2x) = 2
Divide each side by 3
3/3(x^2 +2x) = 2/3
(x^2 +2x) = 2/3
2/2 = 1 1^2 =1
Add 1 to each side
(x^2 +2x+1) = 2/3+1
(x+1) ^2 = 2/3 +3/3
(x+1)^2 = 5/3
Take the square root of each side
sqrt((x+1)^2) = ±sqrt(5/3)
x+1 = ±sqrt(5/3)
Subtract 1 from each side
x+1-1 = -1±sqrt(5/3)
x = -1±sqrt(5/3)
Option 2 8-12i is correct.
Step-by-step explanation:
The conjugate of the complex number is obtained by changing the sign of the imaginary part.
In complex number 8+12i
8 is the real part and 12i is the imaginary part
The conjugate of 8+12i is 8-12i
So, Option 2 8-12i is correct.
Learn more about Complex numbers at:
brainly.com/question/10736268
brainly.com/question/4678474
Keywords: Complex numbers, conjugate
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7. If P = [5,6,7,8). Q = (2,4,6,8) and<br>R=2, 3, 7, 9), then P nQnR=
Setler [38]
Answer:
pnQnR= {}
Step-by-step explanation:
there is no number common in set P, set Q and set R.
So the answer is null
{}
Answer:
x=2
Step-by-step explanation:
3^2x = 81
3^2x = 3^4
Compare powers
2x = 4
x = 2