3 years ago

7-4i divided by 2+i how to solve it?

1 answer:

8 0

$\cfrac{7-4i}{2+i}\\\\ = \cfrac{(7-4i)(2-i)}{(2+i)(2-i)} \\\\ =\cfrac{14-7i-8i-4}{4+1} \\\\= \cfrac{10-15i}{5} \\\\= \cfrac{5(2-3i)}{5} \\\\=2-3i$

You might be interested in

(PLEASE HELP) I need help on the left overs

Brums [2.3K]

Left overs of what!!

8 0

2 years ago

Read 2 more answers

Find the area of a regular octagon with a side length of 4 cm.

goblinko [34]

Answer:

77.25 cm^2

Step-by-step explanation:

Area of a regular octagon :

2a^2(1 + (sqrt2))

where a is the side

substitute 4 in for 'a'

6 0

2 years ago

Solve for x: 3-(2x-5)<-4(x+2)

andriy [413]

3-(2x-5)<-4(x+2)

8-2x<-8-4x

16<-2x

-8 > x. or equivalently x<-8

3 0

3 years ago

Fatoring Trinomials<br> x^2+2x=-1

Musya8 [376]

Answer:

$\Huge \boxed{x=-1}$

Step-by-step explanation:

$x^2+2x=-1$

Adding 1 to both sides of the equation.

$x^2+2x+1=-1+1$

$x^2 +2x+1=0$

Factoring the left side of the equation.

$x^2 +1x+1x+1=0$

$x(x+1)+1(x+1)=0$

$(x+1)(x+1) = 0$

$(x+1)^2 =0$

Taking the square root of both sides of the equation.

$\sqrt{(x+1)^2} =\sqrt{0}$

$x+1=0$

Subtracting 1 from both sides of the equation.

$x+1-1=0-1$

$x=-1$

8 0

2 years ago

Read 2 more answers

You have $3.25 to buy bananas. each banana costs $0.35 how many bananas can you buy?

Diano4ka-milaya [45]

Answer:

nine

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers