Answer:
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Step-by-step explanation:
5z^2−9z=−7z−5
We need to get all the terms on one side (set the right side equal to zero)
Add 7z to each side
5z^2−9z+7z=−7z+7z−5
5z^2−2z=−5
Add 5 to each side
5z^2−2z+5=−5 +5
5z^2−2z+5=0
This is in the form
az^2 +bz+c = 0 so we can use the quadratic formula
where a = 5 b = -2 and c = 5
-b± sqrt(b^2-4ac)
-------------------------
2a
-(-2)± sqrt((-2)^2-4(5)5)
-------------------------
2(5)
2± sqrt(4-100)
-------------------------
10
2± sqrt(-96)
-------------------------
10
2± sqrt(16)sqrt(-1) sqrt(6)
-------------------------
10
2± 4i sqrt(6)
-------------------------
10
1/5 ± 2/5 i sqrt(6)
Splitting the ±
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Your answer is 1.0 good luck hope i helped u ☺
24 = -v/3 (first you multiply 3 to each side)
<u>×3 ×3</u>
<u />72 = -v (then you divide -1 from each side)
-72 = v<u><u /></u><u />
Answer:
8x
Step-by-step explanation:
3x + 8x are like terms which means they have the exact same variable.
To add like terms we add the coefficients which are 3 and 5.
3 + 5 = 8
We have 8 x's. So 3x + 5x = 8x.
In order to add terms, the variable part has to be exactly the same.
It's like saying 3 balls + 5 balls = 8 balls.
