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polet [3.4K]
3 years ago
11

Quadratic Equations How do I solve a quadratic equation?

Mathematics
1 answer:
malfutka [58]3 years ago
5 0
There are different ways to solve a quadratic equation, the main ones that i'm thinking about right now are:
1) factor the equation as a product:
 ex:        x^2+ 4x + 3 =0
             (x+3) (x+1) = 0
              x=-3 and x=-1 are the solutions.
To find (x+p) and (x+q) you have to think that (p+q )have to be equal to the number that is multiplied by x, in my example it was 4 (3+1=4), (p times q) have to be equal to the last number of the quadratic equation, the one that is not multiplied by any x, that in my example is 3 (3 x 1= 3)

2) The other way to solve a quadratic function is by using a formula:
    given: ax^2 +bx +c=0
    x= (-b +/- <span>√(b^2 -</span> 4ac)) / 2a
    
 ex: 3x^2 + 4x -2=0
    x= (-4 +/- √16-4(3)(-2)) / 6= (-4 +/- √16+24)/6= (-4 +/- <span>√40) / 6
now there are 2 possibilities: x= (-4+</span><span>√40) /6
                                                        and
                                              x= (-4 - </span><span>√40) / 6
I hope the examples were clear enough also if i did't get very nice numbers. Look closely to the sings + and -, they are very important</span>
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Answer:

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Step-by-step explanation:

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MA_775_DIABLO [31]

The inequality which represents the missing dimension x is x≥1.6 or x≥8 / 5.

Given that the area is greater than or equal to 8 square feet and image is attached below.

We want to find the missing inequality x in the form of inequality.

The figure is assumed to be a right triangle with Root = x and perpendicular = 10ft.

As we know the area of ​​a triangle is half the product of the base and the height.

First of all, we will find the area of ​​the triangle by substituting the given values ​​we get

Area=(1/2)×Base×height

Area=(1/2)×x×10

Area=5x      ......(1)

Assume that this area is greater than or equal to 8 square feet.

That means Area≥8ft²      ......(2)

Now we will balance equation (1) and equation (2), we get

5x≥8ft²

Furthermore, they we will divide both sides by 5 we get

(5x)/5≥8/5

x≥8/5

x≥1.6

Therefore, the inequality represents the missing size x when the area is larger or equal to 8 square feet is x ≥1.6ft².

Learn more about the dimension from here brainly.com/question/13271352

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Puthina Unge bought a new Compaq computer system on sale for $1,770. It was advertised as 30% off the regular price. What was th
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maxonik [38]

Answer:

$128.40

Step-by-step explanation:

Find the total cost of the pizza before tax.

15 × 8 = 120

Set up a proportion to find the tax.
7/100 = x/120

Cross multiply

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Divide both sides by 100

Tax = $8.40

$120 + $8.40 = $128.40


I hope this helped and please mark me as brainliest!

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