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
BartSMP [9]
3 years ago
11

What are the solutions of x² + 6x - 6 = 10?

Mathematics
2 answers:
Likurg_2 [28]3 years ago
4 0

Answer: x=- 8 or x=2


Step-by-step explanation:

1. To solve this problem you can applly the quadratic formula, which is shown below:

x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

2. The quadratic  equation is:

x^{2}+6x-6-10=0\\x^{2}+6x-16=0

3. Then:

a=1

b=6

c=-16

4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:

x=\frac{6+/-\sqrt{6^{2}-4(1)(-16)}}{2(1)}

x_1=-8\\x_2=2


Olin [163]3 years ago
4 0

Answer:

x = -8 or x = 2

Step-by-Step Explanation:

Given equation is :

x²+6x-6 = 10

Adding -10 to both sides of above equation,we get

x²+6x-6-10 = -10+10

x²+6x-16 = 0

We can solve above equation by factoring.

Split the middle term of above equation so that the sum of two terms should be 6 and their product be -16.

x²+8x-2x-16 = 0

Make two groups and taking common  

x(x+8)-2(x+8) = 0

Taking (x+8) common,we get

(x+8)(x-2) = 0

Applying zero-Product Property to above equation,we get

x+8 = 0 or x-2 = 0

x = -8 or x = 2 which is the answer.





You might be interested in
Help me please thank you.
jenyasd209 [6]
The correct answer is A: 2.

The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.

If you look at your graph, it takes 2 units up and 1 unit to the right in order to get to the next point on the line.

Therefore, the slope of the line is 2/1, or simply 2. It has a positive value because the line is sloping upward.
4 0
2 years ago
On Tuesday Wilbur bought 5 hats. On Wednesday half of the hats he had were
DochEvi [55]
Yes that’s correct

14 x 2 =28

28 - 5

=23
8 0
2 years ago
Read 2 more answers
The function h(x) is given below.
Sonbull [250]

Answer:second row

Step-by-step explanation:the inverse of a function just interchanges the y and x values

7 0
2 years ago
(Factorisation of Algebraic Expressions)
larisa [96]

Step-by-step explanation:

a.) 6x - 12

= 6( x - 2)

b.) 4ay - 24az

= 4a( y- 6z)

3 0
2 years ago
A, B and C lie on a straight line.
horsena [70]
Here you go, i added a bit of explanation as to why i used the numbers to help you understand the method :)

6 0
2 years ago
Other questions:
  • Write an expression equivalent to 5x squared-15x
    10·1 answer
  • Every week (w) Sandra will save $10. Which algebraic expression could Sandra use to calculate how much money she has saved after
    13·1 answer
  • What is the value of x? If sin (8x - 18)º = cos (5x + 4)°
    10·1 answer
  • Find highest common factor 12 & 20
    8·2 answers
  • I need help so can u help me ok here is the problem write a story problem with 6 divided by 3/4
    8·2 answers
  • Find the measure of each angle. Assume the lines are parallel, I dont have a protractor small enough to do this job.
    11·1 answer
  • What is the slope of the line?<br><br> A. 0<br> B. 1<br> C. undefined<br> D. infinity
    15·1 answer
  • Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices
    15·1 answer
  • Please help! refer to picture !<br><br>edit: nvm
    11·1 answer
  • An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!