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Marianna [84]
3 years ago
5

Use the discriminant to determine the number of real solutions to the equation. −4x^2=−8−10x

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
6 0

Answer:

4

Step-by-step explanation:

Len [333]3 years ago
6 0

Answer:

Step-by-step explanation:

You don't get a free answer. I am, after all, a high school math teacher, so there has to be a lesson in with this.

The discriminant is part of the quadratic formula. It is:

b^2-4ac. If this value is found to be > 0 and a perfect square, there are 2 real roots; if this value is found to >0 and not a perfect square, there are 2 complex roots; if this value is found to be = 0, then there is 1 real root with a multiplicity of 2; and finally, if this value is found to be < 0, then there are 2 imaginary roots. Also, it would help to know that, because we are dealing with the discriminant, which comes from the quadratic formula, and quadratics, by definition, have 2 solutions, you must have 2 solutions listed as the possible roots for the equation. Our equation is:

-4x^2=-8-10x but in order to determine the a, b, and c for the discriminant, that equation has to be in standard form, set equal to 0:

-4x^2+10x+8=0

From this we can see that a = -4, b = 10, and c = 8. Filling in the discriminant:

10^2-4(-4)(8) which gives us a value of

100 - [4(-4)(8)] (don't forget orders of operation here!)

100 - (-128) = 100 + 128 = 228

This value is greater than 0 but is not a perfect square, so there are 2 complex roots. That means that there will be radicals in the solutions.

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Find the percent of increase or decrease from the first number to the second number. 140 to 84
tresset_1 [31]
We can automatically see that we are dealing with a percent decrease because we are going from a smaller to a bigger number. We need to first find what percent of 140the number 84 is. to do this we can set up the following equation:

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solving for x here gives us x = (84 X 100)/140 = 60, so 84 is 60 percent of 140 which means 140 decreased by 40 percent.

Let me know if I can clear anything else up.


8 0
3 years ago
Which Graph Represents The solution set of this inequality?
Alex

Answer:

B

Step-by-step explanation:

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So you would do this:

1 + 2x < 9             Subtract 1

2x < 8                  Divide by 2

x < 4

2. Next, you need to understand the difference between an open circle and a closed circle shown on the solution sets.

An open circle is equal to the following inequalities:

<, >

A Closed circle represents inequalities in situations such as:

greater than or equal to, or less than or equal to

3. Because the inequality above represents only less than or greater than the inequality sets should have an open circle being used.

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5 0
2 years ago
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tekilochka [14]

Answer:

3(x - 5)(x + 1).

Step-by-step explanation:

3x^2 - 12x - 15

Dividing through by 3:

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We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:

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7 0
3 years ago
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2 years ago
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