If x= root 7+ root 6 /root 7-root 6 then find the value of (x+1/x)

Answers

Answer 1

Answer:

Answer:

$\huge\boxed{x+(1)/(x)=(13+2√(42))+(13-2√(42))=26}$

Step-by-step explanation:

$x=(\sqrt7+\sqrt6)/(\sqrt7-\sqrt6)\cdot(\sqrt7+\sqrt6)/(\sqrt7+\sqrt6)=((\sqrt7+\sqrt6)^2)/((\sqrt7-\sqrt6)(\sqrt6+\sqrt7))\n\n\n\text{use}\ (a+b)^2=a^2+2ab+b^2\ \text{and}\ (a-b)(a+b)=a^2-b^2$

$x=((\sqrt7)^2+(2)(\sqrt7)(\sqrt6)+(\sqrt6)^2)/((\sqrt7)^2-(\sqrt6)^2)\n\n\n\text{use}\ (√(a))^2=a,\ \text{for}\ a\geq0\n\n\nx=(7+2√(42)+6)/(7-6)=(13+2√(42))/(1)=13+2√(42)\n\n(1)/(x)=(1)/(13+2√(42))\cdot(13-2√(42))/(13-2√(42))=(13-2√(42))/(13^2-(2√(42))^2)=(13-2√(42))/(169-168)\n\n(1)/(x)=13-2√(42)$

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What is a over b = -2

Answers

a / b = -2

Take note:

to have a quotient with at negative sign, both a & b must have opposites signs. a can be a positive number while b is a negative number or vice versa. If both a and b have the same sign, its quotient will be a positive number.

Let us disregard the sign.
To arrive at the answer of 2, a must be twice the amount of b. meaning a = 2b.

For example: look for a if b is equal to 2. a = 2(2) ; a = 4.
a / b = 2
4 / 2 = 2
2 = 2

Now, we consider the sign of both numbers. a can be 4 while b can be -2 OR vice versa.

a / b = -2
4 / -2 = -2 or -4 / 2 = -2

I need help with this!!! Which has a greater area, a triangle with a base of 100 feet and a height of 100 feet or a circle with diameter of 100 feet, please justify your selection.

Answers

I believe it is a Triangle with a base of 100 ft. and a height of 100 ft.
Yet that's what I learned in class, my teacher isn't paying attention to much of our lessons, so forgive me if this is wrong.

A triangle has a base of 5 centimeters and a height of 8 centimeters. What is the area of the triangle?

Answers

Step-by-step explanation:

triangle formula is ½*b*h

so 5*8 is 40

1/2 of 40 is 20cm

1/2means divideby2soitis40/2

Answer:

Step-by-step explanation:

5 times 8 divided by 2 is 20, and you have to make sure to divide bc its a triangle

What is the middle number of 8 and 15

Answers

It's between 11 and 12.

8 9 10 -11 12- 13 14 15

What do you mean Middle. 11?

140% of what number is 48

Answers

1.4x = 48
Solve for x
x = 48/1.4

x = 34.2857

percent means parts out of 100
140%=140/100=1.4
'of' means multiply
'is' means =
140% of what is 48 means
1.4 times what=48
divide both sides by 1.4
what=34.285714285714285714285714...

If a marble is randomly chosen from a bag that contains exactly 8 red marbles, 6 blue marbles, and 6 white marble, what is the probability that the marble will NOT be white?

Answers

The probability is 14/20. The likelihood that something will happen is known as probability. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Explain about the Probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

By dividing the number of positive outcomes by the entire number of possible outcomes, probability the likelihood that an event will occur is determined. The most basic illustration is a coin toss. There are just two outcomes when you flip a coin: either it comes up heads or tails.

There are three primary types of probability: Theoretical probability Science-based probabilities. Probability is a given.

70% or 7/10 is the right response.

To learn more about Probability refer to:

brainly.com/question/25870256

#SPJ2

70% or 7/10 is the correct answer

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