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sergiy2304 [10]
1 year ago
15

Use the discriminant to describe the roots of each equation. Then select the best description. 2m2 + 3 = m.

Mathematics
2 answers:
IgorLugansk [536]1 year ago
8 0

The roots of the equation are non real roots.

<h3>What does discriminant of roots?</h3>

Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax^{2} + bx + c = 0, the discriminant is b2 − 4ac; and it tells what kind of roots it is real, non real.

As of now, 2m²+3=m we need to find the kind of roots they have.

2m²+3=m

2m²-m+3=0

Here, we can derive the following values from the equation:

a= 2, b = -1, c = 3

An equation's discriminant is stated as:

D= b²-4ac

D = (-1)(-1) - 4(2)(3)

D = 1 - 24

D = -23

Discriminant determine the kind of roots that the equation contains.

In this instance, the discriminant is below 0.

The equation's roots are complex conjugates when D < 0.

Hence the roots for the equation are non real roots.

To get more information about discriminant:

brainly.com/question/15884086

#SPJ4

Tpy6a [65]1 year ago
4 0

The roots of the equation , 2m^{2}+3=m, are non real roots.

<h3>Discriminants are what?</h3>

The quadratic formula's discriminant is represented by the square root symbol b^{2}-4ac. If there are two solutions, one solution, or none at all, the discriminant informs us.

As of now, 2m²+3=m we need to find the kind of roots they have.

2m²+3=m

2m²-m+3=0

Here, we can derive the following values from the equation:

a = 2, b = -1, c = 3

An equation's discriminant is stated as:

D = b²-4ac

D = (-1)(-1) - 4(2)(3)

D = 1 - 24

D = -23

Discriminant can determine the kind of roots that the equation contains.

In this instance, the discriminant is below 0.

The equation's roots are complex conjugates when D < 0.

Hence the roots for the equation are non real roots.

To get more information about discriminant follow the link:

https://brainly.in/question/27214502

#SPJ4

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If the distance between the points A(p,0) and B(p,0) is 10, find the possible values of p
Natalka [10]

Answer:

p = ± 5\sqrt{2}

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (p, 0) and (x₂, y₂ ) = (0, p)

d = \sqrt{(0-p)^2+(p-0)^2}

   = \sqrt{(-p)^2+p^2}

   = \sqrt{p^2+p^2}

   = \sqrt{2p^2}

Given that d = 10, then

\sqrt{2p^2} = 10 ( square both sides )

(\sqrt{2p^2} )² = 10², that is

2p² = 100 ( divide both sides by 2 )

p² = 50 ( take the square root of both sides )

p = ± \sqrt{50} = ± \sqrt{25(2)} = ± 5\sqrt{2}

3 0
3 years ago
What is the radius of a hemisphere with a volume of 757 cm", to the nearest tenth of
Nataliya [291]

Answer:

r = 7.1 cm

Step-by-step explanation:

Given the following data;

Volume of hemisphere = 757 cm³

To find the radius of the hemisphere;

Mathematically, the volume of a hemisphere is given by the formula;

Volume of hemisphere = ⅔πr³

Where, r is the radius of the hemisphere.

π = 22/7

Substituting into the formula, we have;

757 = ⅔πr³

Cross-multiplying, we have;

757 * 3 = 2πr³

2271 = 2*22/7*r³

2271 = 44/7*r³

Cross-multiplying, we have;

2271 * 7 = 44r³

15897 = 44r³

r³ = 15897/44

r³ = 361.30

Taking the cube root of both sides, we have;

r = 7.1223

To the nearest tenth of a centimeter;

r = 7.1 cm

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3 years ago
What percentage is the fraction equal to? A. 30% B. 20% C. 50% D. 40%
Oksi-84 [34.3K]

Answer:

B

Step-by-step explanation:

20% is equal to the fraction above

3 0
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What is the area of the figure? <br> /Users/macuser/Downloads/MS_IMB-1401012-1100604.jpg
xeze [42]
Given:
Shapes: Trapezoid and Triangle.

Trapezoid: Upper base = 14mm ; lower base = 18mm
Triangle: base = 18mm ; height = 12mm
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Area of a trapezoid = (upper base + lower base)/2  * height
A = (14mm+18mm)/2  * (17mm-12mm)
A = 32mm/2 * 5mm
A = 16mm * 5mm
A = 80 mm²

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A = 216mm² ÷ 2
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