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3 years ago

3(3 + 3j) how do you solve this

2 answers:

5 0

Hi! So first thing you need to do is distribute 3 through the parentheses! Then once you solve that, that is your simplified equation!

Please give brainliest!❤️

dem82 [27]3 years ago

5 0

Answer: 9j+9

Step-by-step explanation:

3(3+3j)

(3*3j)+(3*3)

9j+9

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Solve (x + 3)2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u –

Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

$(x+3)^2+(x+3)-2=0$

Let

$u=(x+3)$

Rewrite the equation

$(u)^2+(u)-2=0$

Complete the square

$u^2+u=2$

$u^2+u+1/4=2+1/4$

$u^2+u+1/4=9/4$

rewrite as perfect squares

$(u+1/2)^2=9/4$

square root both sides

$(u+1/2)=\pm\frac{3}{2}$

$u=(-1/2)\pm\frac{3}{2}$

$u=(-1/2)+\frac{3}{2}=1$

$u=(-1/2)-\frac{3}{2}=-2$

the solutions are

u=-2,u=1

Alternative Method

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$(u)^2+(u)-2=0$

$a=1\\b=1\\c=-2$

substitute in the formula

$u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$u=\frac{-1\pm\sqrt{9}} {2}$

$u=\frac{-1\pm3} {2}$

$u=\frac{-1+3} {2}=1$

$u=\frac{-1-3} {2}=-2$

the solutions are

u=-2,u=1

Find the solutions of the original equation

For u=-2

$-2=(x+3)$ ----> $x=-2-3=-5$

For u=1

$1=(x+3)$ ----> $x=1-3=-2$

therefore

The solutions of the original equation are

x=-5 and x=-2

4 0

3 years ago

Read 2 more answers

Is it impossible unlikely as likely as not likely or certain of there are 10 shirts in a drawer 8 of the shirts have short sleev

matrenka [14]

Answer:8/10

Step-by-step explanation

There are 8 t shirts and 10 shirts so there will be a 8 out of ten Vance of wearing a short sleeve shirt

6 0

3 years ago

help please! the pair of figures to the right are similar. what is the ratio of the perimeters and the ratio of the areas?

jasenka [17]

Answer:

Perimeters = 3 in : 7 in

Areas = 9 in² : 49 in²

Step-by-step explanation:

If the figures are squares, and the measurements are the length of that sides (as you have said), then we will do the following.

[The left square]

P = 4a

P = 4(15)

P = 60 in

A = a²

A = 15²

A = 225 in²

[The right square]

P = 4a

P = 4(35)

P = 140 in

A = a²

A = (35)²

A = 1,225 in²

[Simplifying ratios]

Perimeters = 60 in : 140 in

Perimeters = 6 in : 14 in

Perimeters = 3 in : 7 in

Areas = 225 in² : 1,225 in²

Areas = 45 in² : 245 in²

Areas = 9 in² : 49 in²

4 0

3 years ago

What is the product?

Bond [772]

Answer:

it is letter d or the last answer

Step-by-step explanation:

i just multiplied the 4 and -3, 3 and 1, -1 and -2, -1 and 2

6 0

3 years ago

I need help with this

omeli [17]

sorry i don't know this one wish i could help

7 0

3 years ago