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harkovskaia [24]
2 years ago
9

Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions

does the equation have?
Mathematics
1 answer:
Arlecino [84]2 years ago
6 0

The discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

<h3>How to interpret the discriminant?</h3>

The equation is given as:

0 = -2x^2 + 3

Rewrite as:

-2x^2 + 3 = 0

The discriminant of an equation is calculated using:

D = B^2 - 4AC

In this case, we have:

A = -2

B = 0

C = 3

So, we have:

D = (0)^2 - 4 * -2 * 3

Evaluate

D = 24

When the discriminant is 0 or more, then the equation has real roots

Hence, the discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

Read more about quadratic functions at:

brainly.com/question/1214333

#SPJ1

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What expression is not equal to 1/4 of 52?
dmitriy555 [2]
1/4 of 52 = 13.
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3 0
4 years ago
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

Answer:

  1296√3 cubic units

Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...

  B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units

The volume of the prism is then ...

  V = Bh = (108√3)(12) = 1296√3 . . . cubic units

_____

<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

6 0
4 years ago
Please help i don’t understand
SashulF [63]

Answer:

Use inverse cos to solve for x.

hope this helps

3 0
3 years ago
Can y’all help me what do I do here please I’ll give you brainliest
exis [7]

Answer:

1, 2, -3, 51

Step-by-step explanation:

0 ÷ 2 = 0

0 + 1 = 1

2 ÷ 2 = 1

1 + 1 = 2

-8 ÷ 2 = -4

-4 + 1 = -3

100 ÷ 2 = 50

50 + 1 = 51

3 0
4 years ago
90°-56°=(x+6)° what is x
Mrrafil [7]

Answer: \\ x + 6 = 90 - 56 \\  \Leftrightarrow x + 6 = 34 \\ \Leftrightarrow x = 28

4 0
3 years ago
Read 2 more answers
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