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
GREYUIT [131]
3 years ago
9

Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.​

Mathematics
1 answer:
pochemuha3 years ago
8 0

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - \frac{b}{a} = \frac{5}{2}

product of roots = \frac{c}{a} = - 3, then

sum of new roots = \frac{1}{\alpha } + \frac{1}{\beta }

= \frac{\beta+\alpha  }{\alpha \beta }

= \frac{\frac{5}{2} }{-3} = - \frac{5}{6}

product of new roots = \frac{1}{\alpha } × \frac{1}{\beta }

= \frac{1}{\alpha\beta  } = - \frac{1}{3}

Hence the required equation is

x² + \frac{5}{6} x - \frac{1}{3} = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

                           

You might be interested in
What transformations of the parent function (X) = Ixl should be made to obtain the graph fx) = -|x|- 5?
Ulleksa [173]

Answer:

Step-by-step explanation:

D. Reflection over the y axis shift up 5 units

5 0
2 years ago
Shown is a pentagon, with the size of each angle shown. Find the size of the largest angle
sukhopar [10]

Answer:

it is 34 becuas u didvoed

Step-by-step explanation:


3 0
3 years ago
Of the 200 students at your school 75% live more than a mile away. How many students live less than a mile from the school?
aev [14]

Answer:

150

Step-by-step explanation:

75% of 100 is 75. Then times that by two and and you get 150.

3 0
3 years ago
Write a rule for the linear function. (2,5) and (1,1)
Oksi-84 [34.3K]

The graph of a linear function is a straight line. f(0) = -5 means that (0,-5) is a point on the line. Similarly, (-5,-6) is also a point on the line. [ Slope of line = m = [-6-(-5)]/[-5-0] = -1/(-5) = 1/5 Using the point-slope form, an equation of the line is: y - (-5) = (1/5)(x - 0) So, y = (1/5)x - 5 ]

7 0
2 years ago
If T(n) = 5 – 2n, what is the 2nd term?
Hoochie [10]
T(n) = 5 - 2n
t(2) = 5 - 2(2)
t(2) = 5 - 4 = 1
<span>Answer would be 1</span>
7 0
3 years ago
Other questions:
  • Can someone plz help me idk how to do it
    13·1 answer
  • Pliz solve this question​
    7·1 answer
  • Jack is filling a circular hot tub with water from a hose. The diameter of the hot tub is 6 feet, and the depth of the water inc
    9·1 answer
  • The number of hours of​ daylight, H, on day t of any given year​ (on January​ 1, tequals​1) in a particular city can be modeled
    7·1 answer
  • It is given that y is inversely proportional to the square of x and that y=48 when x=<img src="https://tex.z-dn.net/?f=%5Cfrac%7
    7·1 answer
  • Giving brainlist to whoever answers
    5·1 answer
  • I need help quick thanks!!!
    14·1 answer
  • 25 points please help
    6·2 answers
  • Use the box plots comparing the number of male puppies and number of female puppies attending doggy daycare each day for a month
    13·1 answer
  • Two towers make up the Vertical Forest. One is 76 meters tall, and the other is 111 meters tall. How many feet taller is the hig
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!