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3 years ago

Simplified form of (3-5i)^2

Mathematics

1 answer:

Likurg_2 [28]3 years ago

4 0

Answer:

-16 - 30i

Step-by-step explanation:

(3-5i)^2 = (3-5i) * (3-5i)

Applying the "FOIL" method of expanding this expression through multiplication, we get:

9 - 15i - 15i - 25 (since i^2 = -1)

Simplifying this result, we get -16 - 30i

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Step-by-step explanation:

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3 years ago

Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4

Yuliya22 [10]

Answer:

$x=2$ .

Step-by-step explanation:

We have been given an equation $3(2x+6)-4x=2(5x-2)+6$ . We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

$3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6$

$6x+18-4x=10x-4+6$

Step 2: Combine like terms.

$6x-4x+18=10x-4+6$

$2x+18=10x+2$

Step 3: Use subtraction property of equality:

$2x-2x+18-2=10x-2x+2-2$

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$\frac{16}{8}=\frac{8x}{8}$

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Therefore, the solution of our given equation is $x=2$ .

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3 years ago

Read 2 more answers

Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}$

Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

Then we get

xy=C

$y=\frac{C}{x}$ .

Answer: $y=\frac{C}{x}$ .

8 0

2 years ago

Simplified form of (3-5i)^2​

Simplified form of (3-5i)^2