Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
Answer: 30 pints of juice
Step-by-step explanation:
Note: 1 quart = 2 pints.
2 quarts = 4 pints
4 pints + 1 pints=5
So in each pitcher there are 5 pints of juice
5 times 6 = 30
Answer:
a. 42 x 39 = 1638 ft²
b. small = 12(large)
small = 12(48)
= 576
576 - 48 = 528 more small posters
