1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marta_Voda [28]
3 years ago
9

Please help me now ! Thank you

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0
First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now

2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4

At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real. 

Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result. 

For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196

No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.

So x^2 = -4 has no real solutions. Taking the square root of both sides leads to

x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values


You might be interested in
Solve the following inequality. 21&lt;_-3(x - 4) &lt; 30 A. 28&lt;_x &lt; 37 B. -3 &lt;_ x &lt; 6 C. -6 &lt; x &lt;_ -3 D. -10 &
Aloiza [94]

Answer:

Option C -6

Step-by-step explanation:

we have

21\leq -3(x-4)

The compound inequality can be divided into two inequality

21\leq -3(x-4) -----> inequality A

-3(x-4) ----> inequality B

Solve inequality A

21\leq -3x+12

9\leq -3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

-3\geq x

Rewrite

x\leq -3

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

-3x+12

-3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

x>-6

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

-6

3 0
3 years ago
3) Determne the largest multiple of 9 less than 200 ​
BaLLatris [955]

Answer:

i think 22

Step-by-step explanation:

9*22=198

8 0
3 years ago
0.5 recurring as a fraction​
Klio2033 [76]

0.5 = 5/10 = 1/2

The answer is 1/2

5 0
2 years ago
Read 2 more answers
Selamın aleyküm :'D djkdlslskdls
jekas [21]
The language of oh yea doesn't exist :)
5 0
2 years ago
Last math problem of the night! Help?? Will give extra points! ​
noname [10]
3y = -x + 3

y= (-1/3)x + 1

perpendicular: 3

y + 1 = 3(x - 6)
y + 1 = 3x - 18

y = 3x - 19
8 0
3 years ago
Other questions:
  • Simplify the expression: 3.2( -6.5)
    12·2 answers
  • Alexa and Rose read books that have the same number of Pages. Alexa's book is divided into 8 equal chapters. Rose's book is divi
    12·2 answers
  • Graph the system by using technology. Which is the x-coordinate of the solution?
    6·1 answer
  • This should be easy for you <br> Please help me
    11·1 answer
  • Complete the missing value in the solution to the equation. ​<br><br> y = 3x -7<br><br> (1, ?,)
    13·1 answer
  • I need your help on these questions. Please explain each of them. Thank you for your support
    15·1 answer
  • Y = -3x + 1 <br> What is the y-intercept?
    15·2 answers
  • 12-km run. How many miles is the run?
    11·2 answers
  • Please HELP
    15·2 answers
  • A cyclist traveled kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel kilometers, the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!