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FrozenT [24]
3 years ago
5

PLEASE HELP!!!! Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with

a negative discriminant has no real solution, and a quadratic equation with a discriminant of zero has one real solution.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Hey there! I'm happy to help!

In the quadratic formula, the discriminant is square rooted. In this formula you have a ± before this radical. If the discriminant is positive, the solution can be either subtracting or adding the number, so there are 2 real solutions.

If it is 0, subtracting or adding are the same, so there will be just one solution.

You cannot have a negative square root. It is impossible with real numbers, so there are no real solutions.

I hope that this helps! Have a wonderful day! :D

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1. is he equation true , false, or open
RideAnS [48]

Question 1:

For this case we have the following equation:

 5x ^ 2 = 6x + 11

We observe that the equation is a polynomial of the second degree.

Therefore, the equation has two possible solutions.

The variable of the equation for this case is x.

In this case, we have an open equation because we have a variable.

Rewriting the equation we have:

5x ^ 2 - 6x - 11 = 0

Answer:

open, there is a variable.


Question 2:

For this case we have the following equation:

 2-8x = -6

From here, we must clear the value of x.

For this, we follow the following steps:

1) Pass the value of 8x adding:

2 = -6 + 8x

2) Pass the value of 6 adding:

2 + 6 = 8x

3) Add the values ​​on the same side of equality:

 8x = 8

4) Pass the 8 to divide:

x = \frac{8}{8} = 1

Answer:

The value of x is given by:

x = 1


Question 3:

For this case we have the following equation:

 y = x-4

The ordered pair solution is the one that satisfies both sides of the equation.

For the point (6, 2) we have:

x = 6  y = 2

Substituting values ​​we have:

2 = 6-4  2 = 2

We observe that both sides of the equation are equal.

Therefore, the ordered pair solution is (6, 2)

Answer:

An ordered pair that is a solution of the equation y = x-4 is:

(6, 2)

3 0
3 years ago
Read 2 more answers
Write an equation for the line described. Give the answer in standard form. through (2,6), m= -5​
LiRa [457]

9514 1404 393

Answer:

  5x +y = 16

Step-by-step explanation:

Given a point and slope, it often works well to start with the point-slope form of the equation for a line:

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Your point and slope make this ...

  y -6 = -5(x -2)

  y -6 = -5x +10 . . . . . . eliminate parentheses

  5x +y = 16 . . . . . . . . . add 5x+6 to both sides; your standard form equation

8 0
3 years ago
No links please. Fill in the blanks. 67ns=[?]x10^[?]s
cluponka [151]

Using scientific notation, it is found that:

67 ns = 6.7 \times 10^{-8}s

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

a \times 10^b

With the base being a \in [1, 10).

In this problem, the amount is of 67 ns.

Each ns has 10^{-9} seconds, hence:

67ns = 67 \times 10^{-9}s

We want the base between 1 and 10(exclusive), hence, we move the decimal digit one digit to the left and add one to the exponent, and the representation is:

67 ns = 6.7 \times 10^{-8}s

You can learn more about scientific notation at brainly.com/question/16394306

7 0
2 years ago
1. Consider the following system of equations.
Ivenika [448]

Answer:

x + 5 = 5

Step-by-step explanation:

Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5

7 0
3 years ago
An apartment has 1026 square feet of carpeting.how much is this in square meters? Use the following conversion:1 square meters i
guapka [62]

Answer:

95

because what is 95 times 10.8 if you multiply that you will get 1026

Also you get 95 by dividing 1026 by 10.8

4 0
2 years ago
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