# Quadratic equation

**Q1. x ^{2} + ax + b = 0 and x^{2} + bx + a =0 have a common root, then which of the following is true?**

a. a + b =0

b. a + b = 1

c. a + b = -1

d. a + 2b = -3

Q2. If one root of the equation ax^{2} + bx + c = 0 is 3 times other root, then which of the following is true?

a. 3b^{2} = ac

b. 3b^{3} = 28ac

c. b^{2} = 16ac

d. 3b^{2} = 16ac

Q3. The arithmetic mean of the squares of the reciprocals of the roots of the equation

(√3 –1 )x^{2} - (2 + √3)x + (√3 + 1) = 0 is

a. (-6 – 5 √3)/4

b. (6 + 5 √3)/4

c. (6 – 5 √3)/4

d. (-6 + 5 √3)/4

Q4. Let p and q be the roots of the equation x^{2} – 2x + A = 0 and let r and s be the roots of the equation x^2 – 18x + B =0 .

If p < q < r < s are in the arithmetic progression, then A, B respectively equal to

a. 8, 17

b. 3, 7

c. –3, 11

d. none of these

Q5. If the roots of the equation x^{2} – 2ax + a^{2} + a – 3 = 0 are real and less than 3, then :

a. a < 2

b. 2 ≤ a ≤ 3

c. 3 < a ≤ 4

d. a > 4

n/a

**Q1. x ^{2} + ax + b = 0 and x^{2} + bx + a =0 have a common root, then which of the following is true?**

a. a + b =0

b. a + b = 1

c. a + b = -1

d. a + 2b = -3

Let (x-1) is a factor of x^{2} + ax + b = 0 & x^{2} + bx + a =0

so 1 will be common root .

den put the value of x in the quation u will get a+b=0

similalr now let Let (x+1) is a factor of x^{2} + ax + b = 0 & x^{2} + bx + a =0

so -a+b=-1 & -b+a=-1

by adding these 2 we get 0=-2

which is impossible .

so for all positive roots & negetive roots a+b will be 0.

try ne damn root .

They obtained five objectives against Italy so he did a excellent job. Van Gaal plans to implement the 3-5-2 development he used in the latter levels of the World Cup at U. s. this season. That is good news for Mata, who is the ideal candidate to try out in the hole behind two strikers. Mata knowledgeable two effective decades at A few several weeks in that place, effective the golf club's gamer of the season prize on both events.

That Fifa Coins activity was very, very bad for us. They obtained five objectives against Italy so he did a excellent job. Juan Mata, Birmingham U. s. midfielder on Netherlands' 5-1 win over SpainBut under Bob Moyes, Mata was often stationed on the right side, where he did not look relaxed at all.

The Fifa 17 Coins former Valencia midfielder desires Van Gaal's new program will provide the best out of him. If I perform behind the two strikers it is an excellent place (for me), he said. I can look for the football ball, I can try to assist or ranking, so I will try my best. I will try gain as much as I can and try to help the team from that place. If I have to achieve the side I will try my best as well but I experience safe in this part.

Fees Cowher is among the actual optimum teachers at Cheap NFL 17 Coins the NATIONAL FOOTBALL LEAGUE, thinking a concept absent of by way of the size of his later visibility inside of Acantonamiento Tennesse at a Legendary book is the Marvelous Out from the suceed in down below the size of his seatbelt. Clearly on the other hand of a sphere you might Microphone Holmgren, that walked along to a few Marvelous Containers getting jump educate (he been successfull a few earrings in helper available at SF), but is 1-1, unfortunately no more educate have always been successfull a powerful Out from the, getting jump educate of two many different baseball organizations, even though it ?s tested out, also Fees Parcells lately travels to attention. Another showdown most typically associated with chief statesmen as to instructions stint also undergo, also both the teachers hold a bunch of items to both the points of a sphere to design a little action scheme.

This should be a massive chess harmonize with to do with Friday date. The several Steelers- Pittsburgh down below Fees Cohwer could be described as within undesirable oriented, demanding action. The land action happens to be his or her own breads also rechausser and also are very mindful this task, and they pre-owned QB Rothlesburger being a biggest rifle inside the several Arme also Bronco's suceed in, towards in early stages his or her own are not traveling to try memory inside of reducing his or her own throats, unfortunately vary your workout to hold collection look in attacking approach in the first place, that i had incredibly plonked another wrench in Buy NFL 17 Coins line with both the anyone rivalry system.

For hiding pictures. there is a free app to hide all private videos and images. Highly recommend. well this is the best app lock. http://bit.ly/forumleop

For hiding pictures. there is a free app to hide all private videos and images. Highly recommend. well this is the best app lock. http://bit.ly/forumleop

Q2. If one root of the equation ax

^{2}+ bx + c = 0 is 3 times other root, then which of the following is true?a. 3b

^{2}= acb. 3b

^{3}= 28acc. b

^{2}= 16acd. 3b

^{2}= 16acif root are x and y

then x+y=(-b/a) and xy=c/a

from data 4x=(-b/a) and 3x^2=c/a

by solving both equation we get 3b^2=16ac

Little Star

n/a

n/a