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
likoan [24]
3 years ago
8

Find the roots. 3x2 - 5x+ 2 =0

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Given

3x² - 5x + 2 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 2 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the x- term

3x² - 3x - 2x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(x - 1) - 2(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(3x - 2) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

Roots are x = 1, x = \frac{2}{3}

You might be interested in
Simplify -3d^8(-4d^-14). Assume d =/ 0​
Alenkinab [10]

Answer:

\frac{12}{d^6}

Step-by-step explanation:

-3d^8\left(-4d^{-14}\right)

Double negative = Positive:

3d^8*4d^{-14}

Apply negative exponent formula:

3*d^8*4*\frac{1}{d^{14}}

Multiply:

\frac{12d^8}{d^{14}}

Apply exponent rule: \frac{x^a}{x^b}=\frac{1}{x^{b-a}}

Thus, \frac{12}{d^{14-8}}

Simplify:

\frac{12}{d^6}

8 0
3 years ago
Twelve more than the product of a number and four is fewer than 60.
valina [46]
Product of a number and four is 4x 
<span>12 more than that is 12+4x </span>
<span>fewer than 60  </span>

<span>12 + 4x < 60</span>
7 0
3 years ago
B is the midpoint of AC. C is the midpoint of AD. Find the coordinates of B and D given the coordinates of A (-2,5) and the coor
GalinKa [24]

B= (3,6) and D= (18,9)

Step-by-step explanation:

To find the midpoint of two given points add X1 and X2 together, then divide by 2 to get the X value of the midpoint and do the same thing for the Y value. That will get you B. From there you can see to get from point A to point C you add 10 to the x value and add 2 to the y value. Because C is the midpoint just double what you had to add to get point D (add 20 to x and add 4 to y)

4 0
3 years ago
PLEASE HELP!! DUE SOON :( #40
Allisa [31]

Answer:

Types of polygon

Polygons can be regular or irregular. If the angles are all equal and all the sides are equal length it is a regular polygon.

Regular and irregular polygons

Interior angles of polygons

To find the sum of interior angles in a polygon divide the polygon into triangles.

Irregular pentagons

The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

Example

Calculate the sum of interior angles in a pentagon.

A pentagon contains 3 triangles. The sum of the interior angles is:

180 * 3 = 540

The number of triangles in each polygon is two less than the number of sides.

The formula for calculating the sum of interior angles is:

(n - 2) * 180  (where n is the number of sides)

6 0
2 years ago
I need help on this question please hurrrrrrryyy
lbvjy [14]

Answer:

0

Step-by-step explanation:

They all seem to be plotted correctly in accordance with the graph

7 0
3 years ago
Other questions:
  • There are nine students in the chess club the club moderator select three of them to go to a chess tournament and how many ways
    9·2 answers
  • PLEase help me out (PLSSSSSS)PLSSSSSS
    7·1 answer
  • 5/6 - 2/7 common demoninator
    15·2 answers
  • I wanna know what is 42/24 simplified
    14·1 answer
  • A toy company currently produces 950 toys per day. The company plans to increase the number of toys produced per day by 55 each
    14·1 answer
  • What is 24.9% in decimal form ?
    11·1 answer
  • a 36 foot is attached from the top of a pole to a bracket that is 9 feet from the base of the pole how tall is the pole?
    9·1 answer
  • Please answer this question <br> Show your work also
    6·2 answers
  • Any help is appreciated!
    7·1 answer
  • In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!