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nignag [31]
3 years ago
9

Solve for z 2 + -z = 5

Mathematics
2 answers:
Mariana [72]3 years ago
6 0

I’m pretty sure the answer is 3 because the z stands for a missing number so 2+3=5

NARA [144]3 years ago
6 0

Simplify both sides of the equation.

2+-z=5

-z+2=5

Subtract 2 from both sides.

-z+2-2=5-2

-z=3

Divide both sides by -1

-z = 3

-1 = -1

z=-3

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alexira [117]

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

3 0
3 years ago
What expression is equal to 75. Squared?
Murljashka [212]
The answer to 75 squared is 5,625.
8 0
3 years ago
Question 22 Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every
Setler [38]

Answer:

897 liters

Step-by-step explanation:

The motor oil is composed of 8 liters of natural oil and 5 liters of synthetic oil. This means there is a ratio of 8/5. We have 552 liters of natural oil to y liters of synthetic. This is the ratio 552/y. Create a proportion that compares the two ratios.

\frac{8}{5}=\frac{552}{y}

Solve by cross multiplying.

8y = 5(552)

8y = 2,760

y= 345

345 liters of synthetic oil.

Together 552+345= 897 liters of motor oil.

4 0
3 years ago
The half of the day from midday to midnight can be described as
Serjik [45]

Answer:

24hours divided by 2 is 12

Step-by-step explanation:

8 0
3 years ago
What's the reciprocal of 6⁄5
Alik [6]

Answer:

5/6

Step-by-step explanation:

the reciprocal of any fraction is the fraction flipped

8 0
3 years ago
Read 2 more answers
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