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irakobra [83]
2 years ago
7

I got a maths equation which i don't really get how to work out, the question is : solve 4x^2+x-3=0

Mathematics
1 answer:
Maru [420]2 years ago
6 0

The solutions for the given equation 4x^2+x-3=0 are x = -1 and x = 3/4. Using the quadratic formula, the solutions for the given equation are calculated.

<h3>What is the quadratic formula?</h3>

The formula which is used to calculate the roots(solutions) of the quadratic equation in the form ax^2+bx+c=0 is

x = [- b ± \sqrt{b^2-4ac}]/2a

<h3>Calculation:</h3>

The given equation is 4x^2+x-3=0

In comparison with the standard form of quadratic equation ax^2+bx+c=0,

we get, a = 4, b = 1 and c = -3

So, solving the given equation using the quadratic formula,

x = [- b ± \sqrt{b^2-4ac}]/2a

  = [- 1 ± \sqrt{1-4(4)(-3)}]/2(4)

  = [-1 ± \sqrt{49}]/8

  = (-1 ± 7)/8

Thus, x =  (-1 + 7)/8 = 3/4 and x = (-1-7)/8 = -8/8 = -1

Therefore, the solutions of the given equation are x = -1 and x = 3/4.

Learn more about solving quadratic equations here:

brainly.com/question/1214333

#SPJ4

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Answer:

219.1

Step-by-step explanation:

Mean: Add all numbers together and divide by the amount of numbers

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3 years ago
The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w
kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

                    54   2

                    27   3

                      9   3

                      3   3

                       1

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

              Length                        Width

              2 x 3 = 6           and    3 x 3 = 9

or            2 x 3 x 3 = 18   and    3 x 1 = 3

or            3 x 3 x 3 = 27  and     2 x 1 = 2

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