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:
The missing side (c) is 87 ft.
Step-by-step explanation:
Answer:x = 45
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees. The angles in the given triangle are
Angle p is 25
angle r is 20
angle q is 3x
Therefore,
Angle p + angle r + angle q = 180
25 + 20 + 3x = 180
45 + 3x = 180
Subtracting 45 from the left hand side and the right hand side of the equation, it becomes
45 - 45 + 3x = 180 - 45
3x = 135
Dividing the left hand side and the right hand side of the equation by 3, it becomes
3x/3 = 135/3
x = 45
Is there any answer choice ?
Answer:
(-1 , 1.5)
Step-by-step explanation:
