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chubhunter [2.5K]
3 years ago
13

4y=x 3x-y=70 how to solve this problem using substitution

Mathematics
1 answer:
diamong [38]3 years ago
3 0
4y=x
3(4y)-y=7012y-y=70
11y=70
y=70/11
4(70/11)=x
280/11=x
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Use the binomial expansion and approximation to find √3​
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According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.  

<h3>How to approximate the value of a irrational number by binomial theorem</h3>

Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:

(a + b)^{n} = \sum \limits_{k = 0}^{n} \left(\begin{array}{c}n\\k\end{array}\right)\cdot a^{n-k} \cdot b^{k}     (1)

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If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:

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To learn more on binomial expansions: brainly.com/question/12249986

#SPJ1

8 0
1 year ago
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