Answer:
3rd Option is correct.
Step-by-step explanation:
Given Equation:
x² - 16x + 12 = 0
First We need to find solution of the given equation.
x² - 16x + 12 = 0
here, a = 1 , b = -16 & c = 12
Now,
Option 1).
( x - 8 )² = 144
x - 8 = ±√144
x - 8 = ±12
x = 8 + 12 = 20 and x = 8 - 12 = -4
Thus, This is not correct Option.
Option 2).
( x - 4 )² = 4
x - 4 = ±√4
x - 4 = ±2
x = 4 + 2 = 6 and x = 4 - 2 = 2
Thus, This is not correct Option.
Option 3).
( x - 8 )² = 52
x - 8 = ±√52
x - 8 = ±2√13
x = 8 + 2√13 and x = 8 - 2√13
Thus, This is correct Option.
Option 4).
( x - 4 )² = 16
x - 4 = ±√116
x - 4 = ±4
x = 4 + 4 = 8 and x = 4 - 4 = 0
Thus, This is not correct Option.
Therefore, 3rd Option is correct.
Answer:
.
Step-by-step explanation:
Start by separating this decimal number into its integer part and its fraction part:
The most challenging task here is to express 
as a proper fraction. Once that fraction is found, expressing the original number 
will be as simple as rewriting a mixed number as an improper fraction.
Let 
. 
would then represent the original number.
Note that the repeating digits appear in groups of two. Therefore, if the digits in 
are shifted to the left by two places, the repeating part will continue to match:
.
Note, that this "shifting" is as simple as multiplying the initial number by 
(same as 
raised to the power of the number of digits that needs to be shifted.)
Subtract the original number from the shifted number to eliminate the fraction part completely:
.
In other words:
.
.
Therefore, the original number would be:
.
<u>Answer</u>
59°
<u>Explanation</u>
There are 2 parallel line and one transverse.
Angles in a straight line add up to 180°
∴ 180 - (2a + 3) = 180 - 2a -3
= 177 - 2a
The angle (177 - 2a) corresponds to angle a in the diagram. The two corresponding angles are equal.
∴ 177 - 2a = a
177 = a + 2a
3a = 177
a = 177/3
= 59°
Answer:
The derivative is
Step-by-step explanation:
The function is given by
Differentiate with respect to x, we get
