Maths
General
Easy
Question
If α,β then the equation with roots will be



 none of these
Hint:
The definition of a quadratic as a seconddegree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. Here we have to find the value of if α,β are roots of the equation.
The correct answer is:
A quadratic equation, or sometimes just quadratics, is a polynomial equation with a maximum degree of two. It takes the following form:
ax² + bx + c = 0
where a, b, and c are constant terms and x is the unknown variable.
Now we have given the equation as:
Here, $a=1,b=−3 andc=1$
$Now we have the sum of roots as α+β=(3)/1=3$
$product of roots as α.β=1/1=1$
$Adding the terms, we get :$
Here we used the concept of quadratic equations and solved the problem. We found the sum and product of the roots first and then proceeded for the final answer. Therefore, will be the equation for the roots .
Related Questions to study
maths
The equation of the directrix of the conic is
The equation of the directrix of the conic is
mathsGeneral
maths
The conic with length of latus rectum 6 and eccentricity is
The conic with length of latus rectum 6 and eccentricity is
mathsGeneral
maths
For the circle centre and radius are
For the circle centre and radius are
mathsGeneral
Maths
The polar equation of the circle of radius 5 and touching the initial line at the pole is
The polar equation of the circle of radius 5 and touching the initial line at the pole is
MathsGeneral
maths
The circle with centre at and radius 2 is
The circle with centre at and radius 2 is
mathsGeneral
Maths
StatementI : If
StatementII :If
Which of the above statements is true
StatementI : If
StatementII :If
Which of the above statements is true
MathsGeneral
Maths
If x, y are rational number such that Then
If x, y are rational number such that Then
MathsGeneral
maths
A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is 
A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is 
mathsGeneral
maths
There are three piles of identical yellow, black and green balls and each pile contains at least 20 balls. The number of ways of selecting 20 balls if the number of black balls to be selected is twice the number of yellow balls, is 
There are three piles of identical yellow, black and green balls and each pile contains at least 20 balls. The number of ways of selecting 20 balls if the number of black balls to be selected is twice the number of yellow balls, is 
mathsGeneral
maths
If a, b, c are the three natural numbers such that a + b + c is divisible by 6, then a^{3} + b^{3} + c^{3} must be divisible by 
If a, b, c are the three natural numbers such that a + b + c is divisible by 6, then a^{3} + b^{3} + c^{3} must be divisible by 
mathsGeneral
maths
For x R, let [x] denote the greatest integer x, then value of++ +…+is 
For x R, let [x] denote the greatest integer x, then value of++ +…+is 
mathsGeneral
maths
The number of integral solutions of the equation x + y + z = 24 subjected to conditions that 1 x 5, 12 y 18, z –1
The number of integral solutions of the equation x + y + z = 24 subjected to conditions that 1 x 5, 12 y 18, z –1
mathsGeneral
maths
Ravish write letters to his five friends and address the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes 
Ravish write letters to his five friends and address the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes 
mathsGeneral
maths
In how many ways can we get a sum of at most 17 by throwing six distinct dice 
In how many ways can we get a sum of at most 17 by throwing six distinct dice 
mathsGeneral
maths
The number of non negative integral solutions of equation 3x + y + z = 24
The number of non negative integral solutions of equation 3x + y + z = 24
mathsGeneral