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
andriy [413]
2 years ago
13

PLEASE HELP. DON’T NEED DEEP EXPLANATION JUST ANSWERS.

Mathematics
1 answer:
vladimir2022 [97]2 years ago
7 0

Answer:

\large {\textsf{B and E}}\ \implies x_1=-2\sqrt{5}-3,\ x_2=+2\sqrt{5}-3

Step-by-step explanation:

<u>Quadratic Formula:</u> x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

<u>Quadratic Equation:</u> ax² + bx + x = 0, where a ≠ 0

<u>Given equation:</u> x² + 6x + 9 = 20

<u>Step 1:</u> Subtract 20 from both sides.

x² + 6x + 9 - 20 = 20 - 20

⇒ x² + 6x - 11 = 0

<u>Step 2:</u> Identify the values of <em>a</em>, <em>b</em>, and <em>c</em> and substitute them in the formula.

⇒ a = 1, b = 6, c = -11

x=\dfrac{-6\pm\sqrt{\bold{6^2}-4(1)(-11)}}{\bold{2(1)}}\\\\x=\dfrac{-6\pm\sqrt{36\bold{\ - \ 4(-11)}}}{2}\\\\x=\dfrac{-6\pm\sqrt{\bold{36+44}}}{2}\\\\x=\dfrac{-6\pm\sqrt{80}}{2}\\\\x=\dfrac{-6\pm\sqrt{16\times5}}{2}\implies \dfrac{-6\pm\sqrt{\bold{16}}\times\sqrt{5}}{2} \\\\x=\dfrac{-6\pm4\sqrt{5}}{2}

<u>Step 3:</u> Separate into possible cases.

x_1=\dfrac{-6-4\sqrt{5}}{2}\implies \dfrac{-6}{2}+\dfrac{-4\sqrt{5}}{2}\implies \boxed{-3-2\sqrt{5}\ \ \textsf{or}\ -2\sqrt{5}-3}\\\\x_2=\dfrac{-6+4\sqrt{5}}{2}\implies \dfrac{-6}{2}+\dfrac{4\sqrt{5}}{2}\implies \boxed{-3+2\sqrt{5}\ \ \textsf{or}\ \ 2\sqrt{5}-3}

Learn more about quadratic equations here:

brainly.com/question/27988045

brainly.com/question/27031173

You might be interested in
What is (3.9 x 10 to the power of 33) times (3.25 x 10 to the power of 3)
Anna35 [415]

Answer:1.2675x10^37

Step-by-step explanation:

3.9x10^33 x 3.25x10^3

3.9x3.25x10^33x10^3

12.675x10^(33+3)

12.675x10^36

1.2675x10^1x10^36

1.2675x10^(1+36)

1.2675x10^37

4 0
3 years ago
Sophie went to the lake with her family. First, they spent 1 1/4 hours of fishing. Then, they spent twice as much time swimming.
Cloud [144]
Overall, they spent 3 3/4 hours fishing and swimming.
3 0
3 years ago
How would I go about solving this?
garik1379 [7]
If you draw more of those triangles, there will be 6 that can fit, so find area of 1 triangle and multiply it by 6. Write that number down and then do Pi r squared to find the area of the circle, then do circle area minus triangles area when you get that, divide it by 6. That is the area of the white region so then do Pi R squared again and then subtract the white area from that
8 0
3 years ago
Nancy wrote the greatest number that can be made using each of these digits exactly once 5 3 4 9 8 1
lora16 [44]
985431 is your answer may man/Girl no prob attending ya
7 0
3 years ago
Read 2 more answers
Can someone please explain how to solve such a mean and sneaky problem? Please?
Lelu [443]

Answer:

all real numbers

Step-by-step explanation:

simplify each side of the inequality

26 + 6b -- already fully simplified

2(3b + 4) → 6b + 8

26 + 6b ≥ 6b + 8

subtract 6b from both sides

26 ≥ 8

since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8

4 0
3 years ago
Other questions:
  • How do we use the Pythagoras theorem in "everyday life".
    15·1 answer
  • HELP PLEASE<br> To the nearest whole degree, what angle measure has a sine of 0.3535????
    7·1 answer
  • PLZZZZZ HELP
    12·1 answer
  • What is 100.35 and 67.89 and 77.67 and how many r there in all
    12·2 answers
  • 3x(2x-1)-(2x+3)(2x+3)
    7·1 answer
  • 3. A set of n = 18 pairs of scores (X and Y values) has SSX = 20, SSY = 80, and SP = 10. If the mean for the X values is MX = 8
    9·1 answer
  • Find the area of the hexagon
    11·2 answers
  • When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowes
    12·1 answer
  • The amount of a pollutant (measured as parts per million) in a local lake can be modeled by the function of A(t)=14(2.71)^-.016*
    11·1 answer
  • Please help i need to turn this in!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!