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Paraphin [41]
3 years ago
11

Solve the equation 3x^2 10x + 5 = 0 to the nearest tenth.

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0
Exact form x= - 1/2 decimal form x=- 0.5
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What is the second term in the binomial expansion of (2r – 3s)12? –73,728r11s 73,728r11s 608,256r10s2 –608,256r10s2?
ZanzabumX [31]

Solution:

A is the correct option.

Explanation:

We have been given that (2r - 3s)^{12}

The r^{th} term of a binomial expansion (a+b)^n is given by

t_r=^{n}C_{r-1}a^{n-r+1}b^{r-1}

For the given binomial expansion, we have

a=2r,b=-3s,r=2,n=12

On plugging this value in the above formula, we have

t_2=^{12}C_{2-1}(2r)^{12-2+1}(-3s)^{2-1}\\\\t_2=^{12}C_1 (2r)^{11}(-3s)^{1}\\\\t_2=\frac{12!}{1!11!}(2)^{11}r^{11}(-3)s\\\\t_2=12\cdot (2)^{11}(-3)r^{11}s\\\\t_2=-73728r^{11}s

Therefore, the second term is -73728r^11 s

A is the correct option.



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svet-max [94.6K]

Answer:

Combine like terms calculator is a free online tool which can help to combine like terms in an equation and simplify the equation. This is a handy tool while solving polynomial equation problems as it makes the calculations process easy and quick.

Steps to Use the Combine Like Terms Calculator

This tool is a very simple tool for combining like terms. Follow the given steps to use this tool.

Step 1: Enter the complete equation in the first input box i.e. across “Enter Terms:”

Step 2: Click on “Combine Like Terms”.

Step 3: After clicking on “Combine Like Terms”, a new window will appear where all the like terms will be simplified.

What are Like Terms in an Equation?

In an equation, like terms refer to the terms which are having equal powers. For example, x2 and 2x2 are like terms. Similarly, 3x3 and 54x3 are like terms.

For an equation, 2x2 + 13 + x2 + 6, the “Combine Like Terms Calculator” calculator will give the output as 3x2 + 19.

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Step-by-step explanation:

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