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:
x = 21.3 repeating. so put the - on top of the 3 if you're writing it down
Answer:
2.8 units
Step-by-step explanation:
Think of this distance as the hypotenuse of a right triangle that has a vertical leg and a horizontal one as well.
Going from P to Q, the change in x is 2 and the change in y is also 2.
Thus, by the Pythagorean Theorem, this desired distance is:
d = √(2^2 + 2^2) = 2√2 units, or 2.8 units
Answer:
x + 13 < 50
Step-by-step explanation:
15 * 25 = 375 <=== simple multiplication
