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
schepotkina [342]
2 years ago
8

Solve the quadratic equation x2+8x−30=0 by completing the square.

Mathematics
1 answer:
diamong [38]2 years ago
5 0

Answer:

               \bold{x=-4\pm\sqrt{46}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}

You might be interested in
Check my math work please, use photo attached
Sonja [21]

Answer:

The department total on the bottom right hand side should be 464253. Everything else is correct.

Step-by-step explanation:

Adding was wrong across the bottom row.

3 0
2 years ago
A)clara believes the sequence 3,9,27,81,243 is arithmetic. Do you agree with clara?Explain your reasoning.
allsm [11]
This is NOT an arithmetic sequence because there is no common difference.  It is a geometric sequence because there is a common ratio.  Meaning that each term is a constant ratio or multiple of the previous term.  The recursive rule for this geometric sequence is:

a(n)=3*a(n-1), a(1)=3



3 0
2 years ago
The expression -5p + 20 factored is<br> factor out the coefficient of the variable
krek1111 [17]

Answer: -5(p-4)

Step-by-step explanation: The coefficient of a variable is the number multiplying it. To factor it, take the coefficient out and put it outside the parantheses. However, if you do that, make sure you take that coefficient out of all of your other terms!

6 0
3 years ago
Brainliest to the best answer
Alborosie

Answer:

<u>1</u>

7

Is your answer dear .

Hope it helps you:)

6 0
3 years ago
Read 2 more answers
Three times the sum of a number and 4 is the same as 18 more than the number. what is the number​
____ [38]

Answer:

three times the sum of a number and 4, if n were to represent the unknown number, is:

3(n + 4)

18 more than a number is:

n + 18

If these two are the same, then they are equal to each other, then:

3(n + 4) = n + 18

*Do the distributive property on the left*

3n + 12 = n + 18

*Combine like terms*

2n = 6

*Divide both sides by 2*

n = 3

The number is 3.

7 0
2 years ago
Other questions:
  • Which would be the best name for a function that takes the time of day and returns the numbers of coffee sold at a coffee shop?
    12·1 answer
  • 9. The length of each side of a square with area 2500 square inches is increased by 10 inches. What
    8·1 answer
  • Find the equation of a line in standard form that passes through the point (6, -2) and is perpendicular to 3x - 5y = 10.
    8·1 answer
  • Directions for constructing the centroid of a triangle? ​
    14·1 answer
  • What is the first step in solving the quadratic equation -5x + 8 = 1337
    9·1 answer
  • Find the price per pound to the nearest cent . Remember 16oz = 1 lb <br> 12 oz cereal-$3.75
    9·1 answer
  • 3. A rectangular prism has dimensions of 1 , 2, and in. (a) What is the volume of the prism? Show your work and express your ans
    7·1 answer
  • The minimum and maximum temperature for a day in Cupcake Town can be modeled by the equation below:
    8·1 answer
  • Avantraveling 20 miles per hour can stop in 60 feet. If a van is traveling 32 miles per hour what is it’s stopping distance
    11·1 answer
  • I need help on this one
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!