All categories

3 years ago

What types of solutions does 6x^2 - 20x + 1 have?

Mathematics

1 answer:

elena55 [62]3 years ago

3 0

Answer:

2 real solutions

Step-by-step explanation:

We can use the determinant, which says that for a quadratic of the form ax² + bx + c, we can determine what kind of solutions it has by looking at the determinant of the form:

b² - 4ac

If b² - 4ac > 0, then there are 2 real solutions. If b² - 4ac = 0, then there is 1 real solution. If b² - 4ac < 0, then there are 2 imaginary solutions.

Here, a = 6, b = -20, and c = 1. So, plug these into the determinant formula:

b² - 4ac

(-20)² - 4 * 6 * 1 = 400 - 24 = 376

Since 376 is clearly greater than 0, we know this quadratic has 2 real solutions.

<em>~ an aesthetics lover</em>

You might be interested in

a metal strip 42 inches long is to be cut in two pieces. The smaller piece is to be 3 inches more inches than half of the larger

lara31 [8.8K]

Answer:

Piece 1 = 26 inches

Piece 2 = 16 inches

Step-by-step explanation:

42 inches long

Divided into two pieces

Piece 1: x

Piece 2: 0.5x + 3

Add the pieces together and set equal to 42, (or the total)

x + 0.5x + 3 = 42

1.5x + 3 = 42

Subtract 3 from both sides of the equation

1.5x = 39

Divide both sides of the equation by 1.5

x = 26

Piece 1 = 26 inches

Piece 2 = 42 - 26 = 16 inches

Hope this helps :)

7 0

4 years ago

Rectangle JKLM:J(-3, 8), K(-3,-1), L(4, -1),

Maslowich

Answer:

The perimeter of the Rectangle JKLM is 32 unit.

Step-by-step explanation:

Consider the provided coordinates.

Rectangle JKLM: J(-3, 8), K(-3,-1), L(4, -1), M(4,8)

First plot the points as shown in figure:

The required figure is shown below:

Now find the distance between JK by using the distance formula.

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$d=\sqrt{\left(-3-\left(-3\right)\right)^2+\left(-1-8\right)^2}=9$

Therefore, the length of JK is 9 unit.

Now find the length of the side JM

$d=\sqrt{\left(4-\left(-3\right)\right)^2+\left(8-8\right)^2}=7$

Therefore, the length of JM is 7 unit.

The perimeter of rectangle is: $P=2(l+b)$

Therefore,

$P=2(7+9)$

$P=2(16)$

$P=32$

Hence, the perimeter of the Rectangle JKLM is 32 unit.

4 0

4 years ago

Suppose you want to test the effectiveness of a certain drug for treating a disease—that is, you want to see if using the drug i

Paha777 [63]

The factors that are needed to be controlled are :
1. the date of manufacturing of the drug should be the same
2. the amount of drug should be the same
3. the time they will take the drug should be the same
4. the food they are taking should be the same
5. the activities they are doing should be the same

3 0

3 years ago

Read 2 more answers

Math help please!<br> |120+x| x<-120

In-s [12.5K]

Answer:

-120-x

Step-by-step explanation:

Given:

$\displaystyle \large{|120+x| \quad (x < -120)}$