Solve for x over the real numbers:
2 x^2 - 4 x - 3 = 0
Divide both sides by 2:
x^2 - 2 x - 3/2 = 0
Add 3/2 to both sides:
x^2 - 2 x = 3/2
Add 1 to both sides:
x^2 - 2 x + 1 = 5/2
Write the left hand side as a square:
(x - 1)^2 = 5/2
Take the square root of both sides:
x - 1 = sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
x = 1 + sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
Answer: x = 1 + sqrt(5/2) or x = 1 - sqrt(5/2)
Answer:
For this problem, simply substitute x in 
with the given x-values. The resulting coordinates should be (-3,2/27), (-2,2/9), (-1,2/3), (0,2), (1,6), (2,18), and (3,54). Now, you can plot the points, in order to get the exponential graph.
' 2.9% ' means ' 0.029 '
' of ' means ' times '
' 2.9% of 1,000 ' means ' 0.029 x 1,000 '
0.029 x 1,000 = <em>29</em>
