All categories

2 years ago

If x = (7+4√3), then the value of x^2 + 1/x^2 is

Mathematics

1 answer:

Blizzard [7]2 years ago

5 0

Answer:

194.

Step-by-step explanation:

x = (7+4√3)

x^2 = x = (7+4√3)^2

= 49 + 48 + 56√3

= 97 + 56√3

x^2 + 1/x^2 = 97 + 56√3 + 1/(97 + 56√3)

= 194.

You might be interested in

Last month maria high the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times. Let X rep

Marrrta [24]

Alright, lets get started.

Maria hiked the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times.

x times she hiked 5 mile mountain.

So, number of mils she hiked for 5 miles will be = 5 x

Similarly,

y times she hiked 10 mile canal,

So, number of miles she hiked for canal = 10 y

So, total number of miles she hiked = $5 x +10 y$

But as per question given, she had a total of 90 miles

It means

$5x + 10 y = 90$

Dividing this equation with 5

$x + 2 y = 18$

So, the equation is $x + 2 y = 18$ : Answer

Hope it will help :)

8 0

3 years ago

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where xrepres

kumpel [21]

Solve the equation for x:
4x+12=48
Subtract 12 from both sides: 4x=36
Divide 4 from both sides to isolate x: x=9

8 0

3 years ago

Read 2 more answers

Solve for x in the literal equation −18 = xy + z

ale4655 [162]

-18 = xy + z
- z -18 = xy
-z-18/y = x

6 0

3 years ago

Select all of the expressions which are equivalent to-4/3p-2/5

Evgen [1.6K]

Answer:

-2/5 -4/3 p and -4/3p+ (-2/5)

3 0

2 years ago

100 POINTS!!! PLEASE I NEED HELP DUE TODAY!!!!

Volgvan

Using weighed averages, it is found that:

The final grade is 91.
The final grade is 66.8.
The higher grade would be 79.55, with the second grading scheme.
On average, she sold $48,280 per day.
On average, she makes $12.5 per hour.

---------------------------------------

To find the weighed average, we multiply each value by it's weight.

---------------------------------------

Question 1:

Grade of 91, with a weight of 67%.
Grade of 91, with a weight of 33%.

Thus:

$F = 91\times0.67 + 91\times0.33 = 91$

The final grade is 91.

---------------------------------------

Question 2:

Grade of 83, with a weight of 40%(highest grade).
Grade of 60, with a weight of 30%.
Grade of 52, with a weight of 30%.

Thus:

$F = 83\times0.4 + 60\times0.3 + 52\times0.3 = 66.8$

The final grade is 66.8.

---------------------------------------

Question 3:

With teacher 1:

75 with a weight of 25%.
80 with a weight of 10%.
85 with a weight of 40%.
62 with a grade of 25%.

Thus:

$F_1 = 75\times0.25 + 80\times0.1 + 85\times0.4 + 62\times0.25 = 76.25$

---------------------------------------

With teacher 2:

75 with a weight of 15%.
80 with a weight of 10%.
85 with a weight of 60%.
62 with a weight of 15%.

Thus:

$F_2 = 75\times0.15 + 80\times0.1 + 85\times0.6 + 62\times0.15 = 79.55$

The higher grade would be 79.55, with the second grading scheme.

---------------------------------------

Question 4:

Average of $36,432, with a weight of $\frac{3}{3+10} = \frac{3}{13}$
Average of $51,834, with a weight of $\frac{10}{13}$

Thus:

$A = 36432\frac{3}{13} + 51834\frac{10}{13} = \frac{36432\times3 + 51834\times10}{13} = 48280$

On average, she sold $48,280 per day.

---------------------------------------

Question 5:

Average of $14.84, with a weight of $\frac{6}{6+8} = \frac{6}{14} = \frac{3}{7}$
Average of $10.76, with a weight of $\frac{4}{7}$

Thus:

$A = 14.84\frac{3}{7} + 10.76\frac{4}{7} = \frac{14.84\times3 + 10.76\times4}{7} = 12.5$

On average, she makes $12.5 per hour.

A similar problem is given at brainly.com/question/24398353

5 0

3 years ago

If x = (7+4√3), then the value of x^2 + 1/x^2 is​

If x = (7+4√3), then the value of x^2 + 1/x^2 is