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
You scored on a game show is -300 you answer the final question correctly,so you win 400 points.what is your final score
Rasek [7]

Answer:

Your score is 100.

Step-by-step explanation:

If you have -300 and add +300 you will end up with 0 because when a positive and a negative that are equal cancel each other out. So if you add +300 to -300 you get 0 but its 400 so 300 + 100 is 400 so you have +100 left. : )

4 0
2 years ago
What is 55 x 25 equaled to
nikitadnepr [17]

Answer:

1375

Step-by-step explanation:

8 0
3 years ago
Can anyone help me solve this problem: 3i(-5i)
katovenus [111]
The answer is -15i^2

4 0
3 years ago
Write the slope- intercept form of the equation of the line passing through the point (3,5) and parallel to the line y=3x+6.
seropon [69]

Answer: The gradient of the line passing through is 3, thus the equation of the line becomes y=3x-4.

Step-by-step explanation: The parallel lines gradients that have similar gradients, so now we have the gradient of 3 because its similar to the other gradient. To get the equation of the line we use this equation: y=mx+c, we have to substitute the x and y to get the constant c.

5=3(3)+c

c= -4

y=3x+c

3 0
3 years ago
Sara is 5 ft 10inches y’all ? To the nearest centimeter how tall is sara? If 1 in equals 2.54 centimeters
Dahasolnce [82]

1 foot = 12 inches.

5 ft x 12 inches per foot = 60 inches.

60 inches + 10 inches = 70 inches.

Sara was 70 inches tall.

Now convert to centimeters:

70 inches x 2.54 centimeters per inch = 177.8 cm's.

Round to nearest centimeter = 178 cm's.

4 0
3 years ago
Other questions:
  • Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a pla
    11·2 answers
  • Does anyone know the answer what to add and multiply because I really don't get it
    9·2 answers
  • Solve the system of linear equations by elimination.<br><br> 9x−2y=349x−2y=34<br> 5x+2y=−6
    5·1 answer
  • What is the probability that a randomly selected book is a nonfiction paperback? Write the probability as a percent rounded to t
    15·1 answer
  • Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.
    11·2 answers
  • What is the equation of a line parallel to y=7x-8 that passes through (5, 22)?
    13·1 answer
  • Find 50% of 152:<br> Find 25% of 152:<br> Find 75% of 152:
    8·2 answers
  • I went to Cookie Plug and bought 7 cookies for $20. How much is it per cookie? Show your work, what operation did you use? Round
    7·1 answer
  • Help!<br> Algebraic Relationship <br> y= x/4-1
    5·1 answer
  • A bag contains 8 red marbles, 9 yellow marbles, and 7 green marbles. how many additional red marbles must be added to the 24 mar
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!