All categories

3 years ago

Solve: √2z+3 = - z. If there are multiple solutions, list them separated by a comma, e.g., 1, 2. If there is no solution,

Mathematics

2 answers:

Ray Of Light [21]3 years ago

5 0

Answer:

Step-by-step explanation:

$\sqrt{2z}$ + 3 = -z

$\sqrt{2z}$ = -z - 3

Square both sides , we have

2z = $(-z-3)^{2}$

2z = $z^{2}$ + 6z + 9

re arranging the equation , we have

$z^{2}$ + 6z - 2z + 9 = 0

$z^{2}$ + 4z + 9 = 0

This will give a complex roots , solving by quadratic formula

z = -2 + $\sqrt{5}$ i , -2 - $\sqrt{5}$ i

laila [671]3 years ago

4 0

Answer:

If you mean √2z + 3 = -z, the answer is ∅

If you mean √2 z + 3 = -z

√2 z + 3 = -z

√2 z = -z - 3

√2 z + z = - 3

z(√2 + 1) = -3

z = -3 / (√2 + 1)

z = -3 (√2 - 1)

You might be interested in

What is the perimeter of this quadrilateral? (5,5) (2, 4) (4, 1) (6, 1)

lbvjy [14]

$~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}$

$BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}$

$DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89$

8 0

3 years ago

Compare the two statements |-0.45| and | -0.0045|

djyliett [7]

Absolute value means the distance from 0.

|-0.45| =0.45

|-0.0045|=0.0045

0.45>0.0045

|-0.45|>|-0.0045|

8 0

3 years ago

Read 2 more answers

What are three complex fractions that all simplify to one fourth

Margaret [11]

These could be some possible amswers:2/8, 8,32, 3/12

5 0

3 years ago

The Rodriguez family went to dinner at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a meal for $7.50; th

Romashka-Z-Leto [24]

Given:
Mr. Rodriguez : 6.25
Mrs. R 7.50
2 children @ 4.99 each 9.98
Subtotal: 23.73
Sales tax 7.25% 1.72 *23.73 x 7.25%
Total tip 15% 3.56 *23.73 x 15%
Grand total $29.01

Tips should be applied to pre-tax amount not post-tax. However, some companies compute tip based on post-tax amount. This means that the tip you are paying is computed based on the total amount of the meal as well as the sales tax you paid for the meal.

6 0

3 years ago

Find the value of x Round your answer to the nearest tenth. sin 33=7/x

DaniilM [7]

The value of x is 12.9

7 0

4 years ago