All categories

3 years ago

Question is in pic! Plz show work!

Mathematics

1 answer:

kipiarov [429]3 years ago

4 0

Answer:

x = 10 and x = -2

Step-by-step explanation:

The equation has 2 solutions because we have a square. When things are squares, we get a positive and negative solution.

(x-4)^2 - 28 = 8

Add 28 to each side

(x-4)^2 - 28+28 = 8+28

(x-4)^2 = 36

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4 ±6

x = 4 ±6

x = 4+6 and x = 4-6

x = 10 and x = -2

You might be interested in

ASAP BRAINLIEST if correct. Am i correct?

Minchanka [31]

Answer:

C complex

Step-by-step explanation:

a+ bi

a is the real part and bi is the imaginary part

Together they make a complex number

3 0

3 years ago

Solve the Differential equation (x^2 + y^2) dx + (x^2 - xy) dy = 0

natita [175]

Answer:

$\frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C$

Step-by-step explanation:

Given differential equation,

$(x^2 + y^2) dx + (x^2 - xy) dy = 0$

$\implies \frac{dy}{dx}=-\frac{x^2 + y^2}{x^2 - xy}----(1)$

Let y = vx

Differentiating with respect to x,

$\frac{dy}{dx}=v+x\frac{dv}{dx}$

From equation (1),

$v+x\frac{dv}{dx}=-\frac{x^2 + (vx)^2}{x^2 - x(vx)}$

$v+x\frac{dv}{dx}=-\frac{x^2 + v^2x^2}{x^2 - vx^2}$

$v+x\frac{dv}{dx}=-\frac{1 + v^2}{1 - v}$

$v+x\frac{dv}{dx}=\frac{1 + v^2}{v-1}$

$x\frac{dv}{dx}=\frac{1 + v^2}{v-1}-v$

$x\frac{dv}{dx}=\frac{1 + v^2-v^2+v}{v-1}$

$x\frac{dv}{dx}=\frac{v+1}{v-1}$

$\frac{v-1}{v+1}dv=\frac{1}{x}dx$

Integrating both sides,

$\int{\frac{v-1}{v+1}}dv=\int{\frac{1}{x}}dx$

$\int{\frac{v-1+1-1}{v+1}}dv=lnx + C$

$\int{1-\frac{2}{v+1}}dv=lnx + C$

$v-2ln(v+1)=lnx+C$

Now, y = vx ⇒ v = y/x

$\implies \frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C$

5 0

3 years ago

X+y/y−x when x=4 and y=3

daser333 [38]

Answer:

Step-by-step explanation:

4+3/3-4

3/3 = 1

4-4 = 0

1 + 0 = 1

6 0

3 years ago

If 24 men complete a work in 10 days , then 12 men can complete the same work in

DerKrebs [107]

The answer would be 20 days all you have to do is multiply 10 by 2

4 0

2 years ago

Read 2 more answers

Solve each problem.

Damm [24]

The answer is D. If you need two choices also C.

4 0

4 years ago