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makvit [3.9K]
3 years ago
9

What is the solution set for 2x^2+20=8

Mathematics
1 answer:
suter [353]3 years ago
3 0

2x^2+20=8\qquad|-20\\\\2x^2=-12\qquad|:2\\\\x^2=-6 < 0\\\\\text{No real solution}\\----------------------------\\\text{In complex numbers}\\\\i=\sqrt{-1}\\\\x^2=-6\to x=\pm\sqrt{-6}\\\\x=-\sqrt{(6)(-1)}\ \vee\ x=\sqrt{(6)(-1)}\\\\x=-\sqrt6\cdot\sqrt{-1}\ \vee\ x=\sqrt6\cdot\sqrt{-1}\\\\\boxed{x=-i\sqrt6\ \vee\ x=i\sqrt6}

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What is the next step after using the distributive<br><br> property?
e-lub [12.9K]

Answer:

If it's a simple equation such as 2 (x + y), the next step after applying the distributive property is to do the multiplication and simplify the terms.

But in solving an equation such as

2(x + 3) = 3(x + 1)

After applying the distributive property, the next step is to separate the variables to one side, like collecting like terms and then solving the now simplified equation.

Step-by-step explanation:

For a normal equation, the distributive property, also called the distributive law of division and multiplication helps to use the variable outside the bracket to multiply the sum of terms in the bracket. For example.

2 (x + y)

The distributive property enables us to say

2×x + 2×y = 2x + 2y

So, the next step after applying the distributive property is to simplify the equation.

But in solving an equation such as

2(x + 3) = 3(x + 1)

Applying the distributive property

2x + 6 = 3x + 3

We then operate variables, collect like terms on one side

6 - 3 = 3x - 2x

3 = x

x = 3

Hope this Helps!!!

3 0
3 years ago
What number is 2 hundred 15 tens and 6 one
LuckyWell [14K]
The answer is:  "2156" .
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(215)*10 + 6*(1) = 2150 + 6 = 2156 .
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7 0
3 years ago
Which statements describe the graph of 2 8/9 ≥ x on a number line? Select three options.
andrezito [222]

Answer:

✔️The graph contains point zero

✔️There's a closed circle on 2⁸/9

✔️The arrow points to the left

Step-by-step explanation:

The inequality, 2⁸/9 ≥ x, implies that 2⁸/9 is either equal to x or more than x. In other words, the highest value of x is 2⁸/9. Possible value of x is equal to or less than 2⁸/9.

This, on a number line, we would graph the information as follows:

✔️The graph contains point zero

Rationale: point zero is less than 2⁸/9

✔️There's a closed circle on 2⁸/9

Rationale: this indicates 2⁸/9 is included in the possible value of x

✔️The arrow points to the left

Rationale: possible value of x ranges from 2⁸/9 and below.

7 0
3 years ago
Read 2 more answers
Pls help asap I will give brainerlist plus 25 points
kirza4 [7]

PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction

First, we do the exponents.

5² - 4 · 6 + 11

= 25 - 4 · 6 + 11

Next, multiplication (according to PEMDAS).

= 25 - 24 + 11

Although PEMDAS says addition then do subtraction, please note that this is totally interchangeable. For the sake of this problem, subtraction will be done first.

= 25 - 24 + 11

= 1 + 11

Finally, addition.

= 12

This is your answer. Happy studying~

6 0
3 years ago
Read 2 more answers
If B is the midpoint of AC, and AC = 8x-20, find BC
dybincka [34]

Answer:

AC=-160

BC is the midpoint of AC meaning half of AC

-160/2=-80

4 0
4 years ago
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