Answer:
x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4
Step-by-step explanation:
Solve for x:
x - 1 - 2/x = 3 x + 2
Bring x - 1 - 2/x together using the common denominator x:
(x^2 - x - 2)/x = 3 x + 2
Multiply both sides by x:
x^2 - x - 2 = x (3 x + 2)
Expand out terms of the right hand side:
x^2 - x - 2 = 3 x^2 + 2 x
Subtract 3 x^2 + 2 x from both sides:
-2 x^2 - 3 x - 2 = 0
Divide both sides by -2:
x^2 + (3 x)/2 + 1 = 0
Subtract 1 from both sides:
x^2 + (3 x)/2 = -1
Add 9/16 to both sides:
x^2 + (3 x)/2 + 9/16 = -7/16
Write the left hand side as a square:
(x + 3/4)^2 = -7/16
Take the square root of both sides:
x + 3/4 = (i sqrt(7))/4 or x + 3/4 = -(i sqrt(7))/4
Subtract 3/4 from both sides:
x = (i sqrt(7))/4 - 3/4 or x + 3/4 = -(i sqrt(7))/4
Subtract 3/4 from both sides:
Answer: x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4
Answer:
2.5 pounds per book
Step-by-step explanation:
Set up a proportion
20 copies / 50 pounds = 1 copy / x pounds
Cross multiply
20x = 50
Divide both sides by 20
x = 2.5 pounds
I hope this helped and please mark me as brainliest!
Answer:
10 ways
Step-by-step explanation:
Find out the number of ways in which 6 flags can be arranged in a row if 3 red ,2 green, and 3 yellow ?
The above question can be calculated as:
= 6!/(3! × 2! × 3!)
= 720 /(6 × 2 × 6)
= 720/(72)
= 10 ways
Answer:
( -1,-2)
Step-by-step explanation:
x + y = -3
x - y = 1
Add the two equations together to eliminate y
x + y = -3
x - y = 1
------------------
2x = -2
Divide by 2
2x/2 = -2/2
x = -1
Now find y
x+y =-3
-1 +y = -3
-1+1 +y = -3+1
y = -2
( -1,-2)
The seamstress can cut 36, 15-inch pieces of ribbon from 5 rolls of 9 foot long ribbon.
