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
kramer
1 year ago
14

Solve the equation by completing the square. x²+6x-4=0​

Mathematics
1 answer:
zavuch27 [327]1 year ago
5 0

Answer:

<u>x = √13 - 3</u>

<u>x = -√13 - 3</u>

Step-by-step explanation:

Given :

  • x² + 6x - 4 = 0

Solving :

  • x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9]
  • (x + 3)² - 13 = 0 [Group the square term together]
  • (x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]
  • √(x + 3)² = √13 [Taking square root on both sides]
  • x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]
  • x = ±√13 - 3

Solutions :

  1. <u>x = √13 - 3</u>
  2. <u>x = -√13 - 3</u>
You might be interested in
the aquarium is a rectangular prism with dimensions 30in by 20in by 16 in. estimate the maximum volume of water it can hold
saw5 [17]

Answer:

9600 sq in

Step-by-step explanation:

30 x 20 x 16 = 9600

6 0
2 years ago
How do you solv divisions like 60/19. Please someone tell me fast
MatroZZZ [7]

Answer:

The first thing you do is:        

Step-by-step explanation:

How to calculate 60 divided by 19

Here we will show you step-by-step with detailed explanation how to calculate 60 divided by 19 using long division.

Before you continue, note that in the problem 60 divided by 19, the numbers are defined as follows:

60 = dividend

19 = divisor

Step 1:

Start by setting it up with the divisor 19 on the left side and the dividend 60 on the right side like this:

           

 1 9 ⟌ 6 0  

Step 2:

The divisor (19) goes into the first digit of the dividend (6), 0 time(s). Therefore, put 0 on top:

       0    

 1 9 ⟌ 6 0  

Step 3:

Multiply the divisor by the result in the previous step (19 x 0 = 0) and write that answer below the dividend.

       0    

 1 9 ⟌ 6 0  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (6 - 0 = 6) and write the answer below.

       0    

 1 9 ⟌ 6 0  

     - 0    

       6    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

 1 9 ⟌ 6 0  

     - 0    

       6 0  

Step 6:

The divisor (19) goes into the bottom number (60), 3 time(s). Therefore, put 3 on top:

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

Step 7:

Multiply the divisor by the result in the previous step (19 x 3 = 57) and write that answer at the bottom:

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

      5 7  

Step 8:

Subtract the result in the previous step from the number written above it. (60 - 57 = 3) and write the answer at the bottom.

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

     - 5 7  

         3  

3 0
2 years ago
−4y−4+(−3) I don't understand it if anyone want to help me understand it feel free to do so
irinina [24]

Answer:

-4y-7

Step-by-step explanation: You have to add all like terms first. So -4+-3 that is -7. Then the equation is -4y-7.

4 0
3 years ago
Rewrite 3* = 243 as a logarithmic equation.
soldi70 [24.7K]

Answer:

log₃(243) = x

Step-by-step explanation:

3^x = 243

Rule: a^x = b -> logₐ(b) = x

log₃(243) = x

4 0
2 years ago
What is an equation of the line that passes through the point (3,-8) and has a slope of -2<br>​
makvit [3.9K]

Answer:

y = -2x - 2

Step-by-step explanation:

Given:

m = -2

Slope-intercept:

y - y1 = m(x - x1)

y + 8 = -2(x - 3)

y + 8 = -2x + 6

y = -2x - 2

3 0
2 years ago
Other questions:
  • Which of the following is a solution to the inequality 7-1/5x&gt;0?
    7·1 answer
  • Find an equivalent ratio where the total number of students is 250
    14·1 answer
  • Solve<br> x2 - 8x + 14 = 2x - 7
    8·1 answer
  • Please help me!<br> Please!
    9·2 answers
  • Help me ... question is in the picture and the answer choices are
    9·1 answer
  • Which set of numbers is included as part of the solution set of the compound inequality
    6·2 answers
  • Matthew is standing near a flag pole as shown in the picture. There is a support wire that has been place on the ground to the t
    14·1 answer
  • I need help and a explanation please
    10·1 answer
  • (Edmentum)
    15·2 answers
  • HELP ME PLEASE FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE IN 4 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!