All categories

2 years ago

5x²—3x—2=0 by completing the square method

Mathematics

1 answer:

12345 [234]2 years ago

7 0

Answer:

{1, -2/5}

Step-by-step explanation:

5x^2 - 3x -2 = 0

x^2 - (3/5)x - 2/5 = 0

( x - (3/10) )^2 - (3/10)^2 - 2/5 = 0

( x - (3/10) )^2 = 2/5+9/100

( x - (3/10) )^2 = (7/10)^2

Take square roots on both sides

x - 3/10 = +/- 7/10

x = 3/10 +/- 7/10

= { 1, -2/5 }

You might be interested in

Help me pleaseeeeeee?

BlackZzzverrR [31]

Answer:

-7x+3y+3

Step-by-step explanation:

(4-5+4)=3

(-2x-5x)=-7x

(-4y+7y)=3y

6 0

3 years ago

Read 2 more answers

In an experiment, fis the control variable, g is the response variable, and h

erik [133]

It’s B. k. If you think about it and try to solve it in a notebook you’ll get the answer. Hope this helps

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B%204x%20%2B%206" id="TexFormula1" title="2x^{2} + 4x + 6" alt="2x^{2} + 4x +

JulijaS [17]

<h2>Answer:</h2><h2>2(x^2 + 2x + 3) or $2(x^{2} + 2x + 3)$ .</h2><h2>~</h2><h3>To find the answer, simply factor 2 out of 2x^2+4x+6 to get your final answer, </h3><h3>2(x^2 + 2x + 3)</h3><h2>~</h2><h3>Thank you for taking the time to read this!</h3><h3><u>And I hope you have a good day, Loves!</u></h3><h3><em><u>Also if I'm right can you let me know, please?</u></em></h3>

<em><u>Also Also if I am right can I please have Brainliest??</u></em>

<u>You don't need to, I'm just glad I could help. ^^</u>

(If I did help-)

And don't forget to eat a full meal, and have at least one cup of water today!

3 0

3 years ago

Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost fu

gavmur [86]

Answer:

The profit function is:

$P(x)=-x^2+1280x-3300$

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

$R(x)=1300x-x^2$

And the cost function is:

$C(x)=3300+20x$

Then the total profit function will be:

$P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300$

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

$\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)$

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

$\displaystyle x=-\frac{1280}{2(-1)}=640$

And the maximum profit will be:

$P(640)=-(640)^2+1280(640)-3300=406300$

5 0

3 years ago

Read 2 more answers

-8(2b-7)-9(b-5)<br>simplify

GenaCL600 [577]

Answer:

Step-by-step explanation:

$-8(2b-7)-9(b-5)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(-8)(2b)+(-8)(-7)+(-9)(b)+(-9)(-5)\\\\=-16b+56-9b+45\qquad\text{combine like terms}\\\\=(-16b-9b)+(56+45)\\\\=-25b+101$

3 0

3 years ago

Read 2 more answers

5x²—3x—2=0 by completing the square method ​

5x²—3x—2=0 by completing the square method