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
umka21 [38]
4 years ago
15

What are the roots of 7x2 + 392 = 0?

Mathematics
2 answers:
kirill115 [55]4 years ago
6 0
X=<span><span>2i</span><span>√14</span></span>,<span><span><span>−2</span>i</span><span>√<span>14 is the answer I think</span></span></span>
DedPeter [7]4 years ago
3 0
The answer is 406 7*2=14 so 14+392=406
You might be interested in
(x^2y+e^x)dx-x^2dy=0
klio [65]

It looks like the differential equation is

\left(x^2y + e^x\right) \,\mathrm dx - x^2\,\mathrm dy = 0

Check for exactness:

\dfrac{\partial\left(x^2y+e^x\right)}{\partial y} = x^2 \\\\ \dfrac{\partial\left(-x^2\right)}{\partial x} = -2x

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

\mu\left(x^2y + e^x\right) \,\mathrm dx - \mu x^2\,\mathrm dy = 0

*is* exact. If this modified DE is exact, then

\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \dfrac{\partial\left(-\mu x^2\right)}{\partial x}

We have

\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu \\\\ \dfrac{\partial\left(-\mu x^2\right)}{\partial x} = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu \\\\ \implies \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

x^2\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} - 2x\mu \\\\ (x^2+2x)\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} \\\\ \dfrac{\mathrm d\mu}{\mu} = -\dfrac{x^2+2x}{x^2}\,\mathrm dx \\\\ \dfrac{\mathrm d\mu}{\mu} = \left(-1-\dfrac2x\right)\,\mathrm dx \\\\ \implies \ln|\mu| = -x - 2\ln|x| \\\\ \implies \mu = e^{-x-2\ln|x|} = \dfrac{e^{-x}}{x^2}

The modified DE,

\left(e^{-x}y + \dfrac1{x^2}\right) \,\mathrm dx - e^{-x}\,\mathrm dy = 0

is now exact:

\dfrac{\partial\left(e^{-x}y+\frac1{x^2}\right)}{\partial y} = e^{-x} \\\\ \dfrac{\partial\left(-e^{-x}\right)}{\partial x} = e^{-x}

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

\dfrac{\partial F}{\partial x} = e^{-x}y + \dfrac1{x^2} \\\\ \dfrac{\partial F}{\partial y} = e^{-x}

Integrate both sides of the first condition with respect to <em>x</em> :

F(x,y) = -e^{-x}y - \dfrac1x + g(y)

Differentiate both sides of this with respect to <em>y</em> :

\dfrac{\partial F}{\partial y} = -e^{-x}+\dfrac{\mathrm dg}{\mathrm dy} = e^{-x} \\\\ \implies \dfrac{\mathrm dg}{\mathrm dy} = 0 \implies g(y) = C

Then the general solution to the DE is

F(x,y) = \boxed{-e^{-x}y-\dfrac1x = C}

5 0
3 years ago
The two figures below are congruent. Find the measure of the angle that isn't labeled on either figure.
Katen [24]
Step 1: Since this figure has 4 sides, the total degree will be 360 degrees.

Step 2: Create Equation: 41+86+133+x= 360

Step 3: Solve it: you will get the final answer of x=100
6 0
4 years ago
Read 2 more answers
Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
Which rule represent the reduction of a figure?
vazorg [7]

Answer:

Correct option: second one

Step-by-step explanation:

Let's check each option to find the correct one.

First option: x and y increase by 2.3 times, so the figure expands. So this is not the correct option.

Second option: x and y decrease 0.52 times, so the figure is reduced. So this is the correct option.

Third option: x and y are translated by 1/3 of their position, so the figure is not reduced.

Fourth option: x and y increase by 7/2 times, so the figure expands. So this is not the correct option.

Correct option: second one

5 0
3 years ago
Evaluate the expression 3.14(7)^2
ruslelena [56]

Answer:

153.86

Step-by-step explanation:

3.14(7)^2

3.14 × (7 × 7)

3.14 × 49

153.86

6 0
3 years ago
Other questions:
  • What is the probability that a point chosen inside the larger circle is not in the shaded region?
    8·1 answer
  • The diagram shows a tetrahedron.
    15·1 answer
  • What is the approximate length of the third side of the triangle below?
    12·2 answers
  • Wo cards are drawn without replacement from standard deck of 52 cards. What is the probability that the first card is a club and
    11·1 answer
  • The measure of how likely an event is to occur is called_______
    10·2 answers
  • Joy and Joey share a 18-ounce bucket of clay. By the end of the week, Joy has used
    13·1 answer
  • Only need A for number 1 and B for number 2
    7·1 answer
  • IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth.
    13·1 answer
  • Question is in the pic.
    12·2 answers
  • In the figure R is between Q and S and S is between R and T . If RT = 15 , RS = 7 , and QT = 18 , find QS
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!