Answer:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
Step-by-step explanation:
2x² + 2 = 3x
Subtract 3x from both sides so it equals 0:
2x² - 3x + 2 = 0
Divide both sides by 2:
x² - 3/2x + 1 = 0
Subtract 1 from both sides:
x² - 3/2x = -1
Take -3/2 and multiply it by 1/2 then square it:
(-3/2 • 1/2)²
9/16
Add this to both sides:
x² - 3/2x + 9/16 = -1 + 9/16
Rewrite the perfect square on the left and add the terms on the right:
(x - 3/4)² = -7/16
Square root both sides to get rid of the square:
x - 3/4 = ± √-7/16
Simplify the radical:
x - 3/4 = ± √7i/4
Add 3/4 to both sides:
x = 3/4 ± √7i/4
Your two solutions are:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
You can also convert to decimal if you need to (but I don’t recommend it):
x = 0.75 + 0.661438i
x = 0.75 - 0.661438i
Hope this helps!
Answer:
8 -4 -7 1
Step-by-step explanation:
bc it you put them the same way you can tell witch one is bigger
6,300,000 probably is the answer.
I’ve attached my work below for #4
5) 8% is equivalent to 8 cents so each item was $1.08
Than you know he spent 16.20 so you divided
1.08/16.20 which equals 15
So he got 15 items
6) the moon is 250,000 miles away which is about driving around earth 10 times which would take 6 months (not sure about this one)
Hope this helps!
Have a nice day :)
x -3y = 4 multiplie both sides by -2 => -2x +6y = -8
2x +Qy = 8
-2x +6y = -8
2x +Qy = 8
------------------ assume the same terms
0 6y +Qy = 0
6y +Qy = 0
Qy = -6y divide both sides by y and will get
Q = -6