Answer:
x = -7 ±3i
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i
Subtract 7 from each side
x+7-7 = -7 ±3i
x = -7 ±3i
You can convert 2/3 into a fraction that makes adding a lot easier.
Since 3 times 2 is equal to 6, you can multiply the numerator and denominator of 2/3 by 2 to get 4/6.
From there, you add 4/6 + 5/6 to get 9/6.
Since both 9 and 6 are divisible by 3, you can simplify the fraction to 3/2.
Your final answer would be 3/2
Which can also be formatted as 1 1/2 or 1.5
