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
IceJOKER [234]
3 years ago
13

Solve for x 12=x^2+6x

Mathematics
1 answer:
rodikova [14]3 years ago
8 0

Answer:

\large\boxed{x=-3\pm\sqrt{21}}

Step-by-step explanation:

x^2+6x=12\\\\x^2+2(x)(3)=12\qquad\text{add}\ 3^2\ \text{to both sides}\\\\x^2+2(x)(3)+3^2=12+3^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+3)^2=12+9\\\\(x+3)^2=21\iff x+3\pm\sqrt{21}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{21}

You might be interested in
18 is 45% of what number? ____<br> Please help me I can't solve this
Alexxx [7]

18/x = 45/100

cross multiply

18/x * 45/100

45x =1800

divide both sides by 45

45x/45 =1800/45

x=40

18 is 45% of 40


6 0
3 years ago
Write 720,080 in expanded form with exponents
disa [49]
Why are you having us do your homework 
7 0
3 years ago
Read 2 more answers
A car is traveling at a speed of 108 km per hour what is the car speed in meters per second how many meters with the car travel
o-na [289]

There is a method of doing this called unit analysis. It automatically sets up the question in such away that you multiply all the numerators together and divide by all the denominators multiplied together. It is very handy to know.

Notice how the cancellation takes place as you progress from left to right. You are given seconds to start with and that cancels at the end, so that you are only left with meters.

\dfrac{10 s}{1} * \dfrac{108 km}{1 hour} * \dfrac{1000 m }{1 km}*\dfrac{1 hour}{3600 s}

\text{numerator = 10 * 108 * 1000 = 1080000}\\ \\ \text{denominator = 1 * 1 * 1 *3600}

The distance traveled in 10 seconds = 1080000 / 3600 = 300 meters.

Answer: 300 meters

You could also do this question by proportions, which you will no doubt get as your second answer.


7 0
3 years ago
The interest on an investment varies directly as the rate of interest. If the interest is ​$41 when the interest rate is 4​%, fi
VladimirAG [237]
First, find what 41 is 4% of.
\frac{4}{100}  =  \frac{41}{x}
4x = 4100
x = 1025
Now find 7% of 1025.
1025(.07) = 71.75
The interest would be $71.75
6 0
3 years ago
Read 2 more answers
What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.
Harlamova29_29 [7]
2.0 = Value of Log(43)
5 0
4 years ago
Other questions:
  • Math question help :)
    10·2 answers
  • {x|x=4} on number line​
    11·1 answer
  • how to solve measurement a pool that holds 320 cubic feet of water is 84 percent filled to capacity. another pool that hold 400
    11·1 answer
  • I need this done ASAP
    9·1 answer
  • Totes need help on my question 3^-34x+5678-(-89÷32-2100035
    6·2 answers
  • Please help almost due!!!!!!!!!!
    8·1 answer
  • Pls i need some ones help
    12·1 answer
  • Identify the pattern rule for this sequence
    11·2 answers
  • Evaluate the equation -2 + 7 + (-4)
    11·2 answers
  • If you drum for 3 hours burn 756 calories how many calories each hour
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!