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
Cerrena [4.2K]
9 months ago
12

What are the solutions of x² + 6x - 16 = 0?

Mathematics
1 answer:
AveGali [126]9 months ago
6 0

Step-by-step explanation:

x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}}{2\cdot \:1}\\\sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}\\\sqrt{6^2+64}\\\sqrt{36+64}\\\sqrt{100}\\\sqrt{10^2}\\=10\\x_1=\frac{-6+10}{2\cdot \:1},\:x_2=\frac{-6-10}{2\cdot \:1}\\\\\bold{x_1:2}\\\frac{-6+10}{2\cdot \:1}\\\frac{4}{2\cdot \:1}\\\frac{4}{2}\\=2\\\\\bold{x_2:-8}\\\frac{-6-10}{2\cdot \:1}\\\frac{-16}{2\cdot \:1}\\\frac{-16}{2}\\-\frac{16}{2}\\=-8

Answer:

x₁ = 2

x₂ = -8

You might be interested in
What is the y-coordinate for the solution to the system of equations?<br><br> {y=1/2x−4<br> {y=−2x+1
katovenus [111]

Answer:

y = -3

Step-by-step explanation:

{y = x/2 - 4

y = 1 - 2 x

Substitute y = x/2 - 4 into the second equation:

{y = x/2 - 4

x/2 - 4 = 1 - 2 x

In the second equation, look to solve for x:

{y = x/2 - 4

x/2 - 4 = 1 - 2 x

Add 2 x + 4 to both sides:

{y = x/2 - 4

(5 x)/2 = 5

Multiply both sides by 2/5:

{y = x/2 - 4

x = 2

Substitute x = 2 into the first equation:

{y = -3

x = 2

Collect results in alphabetical order:

Answer:

{x = 2

y = -3

6 0
2 years ago
Express as a difference.
ElenaW [278]
10

b: 5+5
c: 5+5

thats thw andeer
3 0
2 years ago
suppose 5 men and 7 women are on a crowded elevator. at the next floor, four people get off the elevator. find the probability t
lubasha [3.4K]
The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.

Now, we can simplify this:
C(7, 4) = \frac{7!}{4!(7 - 4)!}
= \frac{5040}{4!3!}
= \frac{5040}{24 \cdot 6}
= \frac{5040}{144} = 35

Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.

\text{P(4 women): } \frac{35}{495} = \frac{7}{99}
3 0
3 years ago
The number of accidents that occur
wel

Answer: 0.12

Step-by-step explanation:

The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:

= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)

= 0.12

3 0
2 years ago
Help what polynomials are there??
N76 [4]

Answer:

All of them are polynomials except c.

Step-by-step explanation:

Polynomials are in the form:

a_0+a_1x+a_2x^2+a_3x^3+a_4x^4+a_5x^5+a_6x^6+\cdots +a_nx^n

You can see here there are no extra symbols like square root, cube root, absolute value, and so on on the variable x...

We also don't have division by a variable.  All the exponents are whole numbers.

a) While it has a square root, it is not on a variable so a is a polynomial.  The exponents on the variables are whole numbers.

b) b is a polynomial also because all the exponents are whole numbers.

c) This is not a polynomial because there is a square root on a variable.

d) This is a polynomial.  All the exponents are whole numbers.

8 0
3 years ago
Other questions:
  • What is wzy to the nearest degree
    15·1 answer
  • Find the unknown length in the right triangle 24mm 32mm
    8·1 answer
  • HELP ME PLZZZ !!! MATH QUESTION
    11·1 answer
  • A streamer goes downstream from point A to B in 9hrs .from B to A ,upstream it takes 10h .if the speed is 1km/hr , what will be
    5·1 answer
  • HELP ME Twelve out of the first 100 people who entered the mall were wearing glasses. If this sample is representative of 550 pe
    14·1 answer
  • 40 less than twice victor savings
    5·1 answer
  • 3. Yaritza and Eddy race to school on their bikes. Yaritza bikes 2 miles in 12 minutes, and
    10·1 answer
  • Order the steps to solve the equation log3(x + 2) = log3(2x2 − 1) from 1 to 6
    9·2 answers
  • Please help me now :c
    6·1 answer
  • London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie w
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!