1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tema [17]
3 years ago
15

2x^2=9-3x Find the factors

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
5 0

Answer:

x = -3, $ \frac{3}{2} $

Step-by-step explanation:

The given quadratic equation is: $ 2x^2 = 9 - 3x $

This can be written as: $ 2x^2 + 3x - 9 = 0 $

To solve a quadratic equation of the form $ ax^2 + bx + c = 0 $ we use the formula:

           $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$ x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)} $

$ \implies x = \frac{-3 \pm \sqrt{81}}{4} $

$ \implies x = \frac{-3 \pm 9}{4} $

We get two values of 'x', viz.,

x = $ \frac{-3 + 9}{4} $ and $ \frac{- 3 - 9}{4} $

$ \implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4} $

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $ \frac{3}{2} $) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $ \frac{3}{2} $ to see that this indeed is the given quadratic equation.

You might be interested in
An ipad is worth R1200, excluding 15% VAT. What is the selling price of the ipad including VAT
alukav5142 [94]

Answer:

R1,380

Step-by-step explanation:

The price of the iPad without VAT is R1200

We calculate 15% to get;

=  \frac{15}{100}  \times 1200

= 180

Now the selling price of the iPad including VAT

1200 + 180

= 1380

Therefore, the selling price of the ipad including VAT is R1380

7 0
3 years ago
A major stadium has 45,000 seats. If baseball fans have bought 5/8 of the seats for the next game, how many seats are available?
poizon [28]
The answer would be 28125 seats

Since 5/8 is equal to %62.5
6 0
3 years ago
Read 2 more answers
Boating: A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph, how long will i
Lostsunrise [7]

The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

  • A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
  • how long will it take the boat to travel 36 miles downstream and 36 miles upstream?

The time taken by the boat upstream will be calculated as:-

( B + W ) Td = D

( 12 + 3 ) Td = 32

( 15 ) Td = 32

Td = 32 / 15 = 2.1 hours

The time taken by the boat downstream will be calculated as:-

( B - W ) Tu = D

( 12 - 3 ) Tu = 32

9 Tu = 32

Tu = 32 / 9 = 3.56 hours.

Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

4 0
2 years ago
7 less than rhondas score is 65
Y_Kistochka [10]

Answer:

x - 7 = 65

(x is rhonda's score)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If you are able to save, $150 dollars per month-how many months will it take you to
Katen [24]

Answer:

16.66months

Step-by-step explanation:

2500/150

6 0
2 years ago
Read 2 more answers
Other questions:
  • Kevin and randy muise have a jar containing 68 ​coins, all of which are either quarters or nickels. the total value of the coins
    11·1 answer
  • A+1=1 find the value of b^a​
    7·2 answers
  • can i get help please?? :) As the science teacher explained how the cells doubled, Emma felt frustrated. To help Emma understand
    14·1 answer
  • Find the value of 18 ÷ 9 ∙ 3
    6·2 answers
  • Find each measure:
    13·1 answer
  • What is the slope<br> A. Undefined <br> B. 0
    6·1 answer
  • What is 12x + 6y = 24 for ?
    10·2 answers
  • Find the area of a traingle given that the base is 19.5cm and height is 8 4/5cm.
    7·1 answer
  • Find irrational number between 5, 25 and 5, 26​
    13·1 answer
  • 12 Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the functions with their periods
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!