Answer:
x²+(1/x²) = 47
Step-by-step explanation:
by identity : (a+b)² = a²+b²+2ab
(x+1/x)²= x²+(1/x)²+2(x)(1/x)
(x+1/x)²= x²+(1/x²)+2....(1)
since : (x²+1)/x = 7
(x²/x) +(1/x) = 7
x + (1/x )= 7
put the value for : x +(1/x) in (1) :
49 = x²+(1/x²)+2
x²+(1/x²) = 47
x² - 2x + 4
x + 2|x³ + 0x² + 0x + 8
x³ + 2x²
-2x² + 0x
-2x² - 4x
4x + 8
4x + 8
0
x³ + 8 = (x + 2)(x² - 2x + 4)
x³ + 8 = (x + 2)(x - 2)(x - 2)
x³ + 8 = (x + 2)(x - 2)²
Answer: Socrates was condemned to death in 399 BC after he was found guilty of impiety and of corrupting the youth of Athens. When this sentence was decided upon, Socrates failed to act in his own interests and present a credible alternative to the death penalty.
Hope this helped
:D
The quastion is asking us to determine the measure of angle M in a right triangle LMN. We know that angle N is a right angle and that LM = 76 ( Hypotenuse ) and MN = 40 ( Adjacent ). We will use trigonometry: cos M = Adjacent / Hypotenuse = 40 / 76 = 0.5263158; M = cos^(-1) 0.563158; M = 58.242° = 58° 15`. Answer: The measure of angle M is<span> 58°15`.</span>