MATHEMATICS MIDDLE SCHOOL

What are the solutions of the equation x4+6x^2+5=0? Use substitution to solve

Answers

Answer 1

Answer:

+ or - square root of 5, and + or - i

Step-by-step explanation:

(x^2 + 5)(x^2 + 1)= 0

Set each set of parentheses equal to zero:

x^2 + 5 = 0; x^2 = -5, so x will equal plus or minus i times the square root of 5.

X^2 +1 = 0; x^2 = -1, so x will equal plus or minus i times the square root of one, which is just i

Answer 2

Answer:

Answer: The solutions are i and 5i.

Step-by-step explanation:

Since we have given that

$x^4+6x^2+5=0$

By using Substitution, we use

$y=x^2$ in the above equation:

$y^2+6y+5=0\n\ny^2+5y+y+5=0\n\ny(y+5)+1(y+5)=0\n\n(y+1)(y+5)=0\n\ny=-1,-5$

Now, put the value of y in the equation $y=x^2$ .

Put y = -1,

$-1=x^2\n\nx=√(-1)=i$

Similarly, put y = -5

$-5=x^2\n\nx=√(-5)=5i$

Hence, the solutions are i and 5i.

Related Questions

The formulaF = 1.8C + 32 gives the temperaturein degrees Fahrenheit (F ) for a giventemperature in degrees Celsius (C ). There isone temperature for which the number ofdegrees Fahrenheit is equal to the numberof degrees Celsius. Write an equation youcan solve to find that temperature andthen use it to find the temperature
Can someone help real quick?A motor spins 310 times in 62 s. The number of spins varies directly with the length of time the motor is running.How long will it take the motor to spin 495 times? _____s
on Monday the number of customers in the store rounded to the nearest hundred was 400 what is the greatest number of customers that could have been in the store
The edge of one cube is 4 m shorter than the edge of a second cube. The volumes of the two cubes differ by 1216 m^3. Find the edge of the smaller cube.
A sandbag is released from a hot air balloon that is 400ft above the ground. Using the falling object model, h = –16t2 + s, where h = height in feet, t = time in seconds, and s = initial height in feet, how long will it take for the sandbag to hit the ground?A. 25 secondsB. 4 secondsC. 5 secondsD. 20 seconds

How does estimation help you place the decimal point when multiplying

Answers

So that you know if your answer is close enough to be correct.

if you put decimal point if u get close enough u can figure out if u are close to answer it might be right

Which answer shows y-x<2x+2 rewritten to isolate y, and it’s graph

Answers

y - x < 2x + 2

To isolate y, let's add both sides by x.

y - x + x < 2x + 2 + x

y < 3x + 2

That should be your answer for the equation. For the graph, look at the image I attached to my answer~

Happy Studying~

Answer:

y < 3x+2

Step-by-step explanation:

Simplify the expression 7v + 2w-12v

Answers

7v + 2w-12v

= 7v-12v+2w
= 5v+2w

Nothing else we can to to this

Answer:

-5v+2w or 2w-5v

Step-by-step explanation:

We just simplifying so it isn't to hard to do, just combine like terms bro :)

Waily purchased a desk that was on sale for 2/3 of The original price. If the original price was $450, what was the price that Wally paid?

Answers

Answer:

price Willy paid = $300

Step-by-step explanation:

Wally purchased a desk for 2/3 of the original price. The original price of the desk is given as $450. 2/3 of the actual price simply means 2/3 multiply by the original price.

original price = $450

To calculate 2/3 of $450.

2/3 × 450

multiply 2 by 450

= 900/3

divide 900 by 3

= $ 300

price Willy paid = $300

Change 2/3 to decimal point ( 2/3 = 0.67)
$450 x 0.67 = $301.50 (total sale price)
$450 - $301.50 = $148.50 (final price paid)

so, Wally paid $148.50 for the Desk.

In the given figure , if angel ROQ = 90 and angel POS : angel ROS = 4 : 5 , then the value of angel SOQ is

Answers

First of all, these are angles. 'Angels' don't pop up too often in math.

ROQ is 90°.

Then POR is also 90°.

POS : ROS = 4 : 5

So if you split up POR into (4 + 5) = 9 pieces, POS is 4 of them and ROS is 5 of them.

Since POR is 90°, each piece is 10° .

POS = 40°
and
ROS = 50° .

SOQ is ROS added onto ROQ.

ROQ = 90°
ROS = 50°
------------------
SOQ = 140°

Solving for systems:

{y=3x+7 & y=5x-7

Answers

$\left\{\begin{array}{ccc}y=3x+7\ny=5x-7\end{array}\right\n\nsubstitute:\n\n5x-7=3x+7\n5x-3x=7+7\n2x=14\ \ \ \ /:2\nx=7\n\ny=3\cdot7+7=21+7=28\n\nAnswer:x=7\ and\ y=28.$

y = 3x + 7
y = 5x-7

Now, we know that y = y

thus,

3x + 7 = 5x-7
3x - 5x = -7 -7

= -2x = -14

thus, -x = -14/-2

thus, x = 7.

Substituting for y,

y = 3x + 7
= 3 x 7 + 7

= 28.

Thus, x = 7, y =28

Other Questions

What is the percentage increase from 9 to 10.25

50 POINTS ANSWER QUICKThe following pictograph shows the attendance at each seminar at a financial conference. The graph shows that 25 more people attended the "Good Spending Habits" seminar than the "Making a Budget" seminar.

Write the ratio in simplest form 50:35

Help me please. will give brainliest.