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34kurt
2 years ago
15

If 3 + root8 by 3-root8 + 3-root8 by 3+root8 = a+broot2 find a and b

Mathematics
1 answer:
s2008m [1.1K]2 years ago
8 0

If \frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}, the value of a and b is given as a = 34 and b = 0

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables or numbers.

\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8  }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}

If \frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}, the value of a and b is given as a = 34 and b = 0

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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6
denis23 [38]

Answer:

B = 325

Step-by-step explanation:

Given

Total = 900

Singing = 600

Dancing = 500

None = 125

Required

Determine the number of students that participate in both

Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;

In Set Notation;

Total = (S - B) + (D - B) + N + B

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

900 = (600 - B) + (500 - B) + 125

Open Brackets

900 = 600 - B + 500 - B + 125 + B

Collect Like Terms

900 = 600  + 500  + 125 - B - B + B

900 = 1225- B - B + B

900 = 1225- B

Collect Like Terms

900 - 1225 = -B

-325 = -B

Multiply both sides by -1

-1 * -325 = -B * -1

325 = B

Reorder

B = 325

<em>Hence, the number of students that do not participate in both is 325</em>

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VladimirAG [237]

Answer:

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Step-by-step explanation:

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