IF alpha and beta be the roots of the eq...

IF `alpha` and `beta` be the roots of the equation `x^2-4x+10=0`, find the equation whose roots are `alpha/(1+beta)`and `beta/(1+alpha)`.

Text Solution

Verified by Experts

The correct Answer is:

`3x^2+2=0`

Topper's Solved these Questions

QUADRATIC EQUATIONS
CHHAYA PUBLICATION|Exercise EXERCISE 5A(Long Answer type question)|56 Videos
QUADRATIC EQUATIONS
CHHAYA PUBLICATION|Exercise EXERCISE 5B(Multiple Choice type question)|5 Videos
QUADRATIC EQUATIONS
CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos
PROPERTIES OF TRIANGLE
CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos
QUESTION PAPER -2018
CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

IF alpha and beta be the roots of the equation 2x^2+x+1=0 find the equation whose roots are alpha^2/beta and beta^2/alpha

IF alpha and beta be the roots of the equation x^2+3x+4=0 , find the equation whose roots are (alpha+beta)^2 and (alpha+beta)^2

If alpha and beta be the roots of the equation x^2+3x+4=0 find the equation whose roots are (alpha+beta)^2 and (alpha-beta)^2 .

If alpha and beta are the roots of the equation x^2+x+1=0 , then the equation whose roots are alpha^19 and beta^7 is

If alpha,beta be the two roots of the equation x^2+x+1 =0, then the equation whose roots are alpha/beta and beta/alpha is

If alpha and beta are the roots of the equation x^2 + x + 1=0 , then me equation whose roots are alpha^(19) and beta^(7) is:

If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the equation whose roots are alpha^2+2 and beta^2+2.

IF alpha,beta be the roots of the equation x^2+x+1=0 , form the equation whose roots are alpha/beta and beta/alpha . Explain why you get the same equation as the given one.

-alpha^2/beta and -beta^2/alpha are the roots of the equation 3x^2-18x+2=0 . Find the equation whose roots are alpha and beta ( alpha,beta real).

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Short answer type question)

IF 3a^2=4a-5and 3b^2=4b-5 where ane b, find the value of a^2+b^2.
Text Solution
|
IF 3p^2=5p+2and 3q^2=5q+2 where pne q , obtain the equation whose root...
Text Solution
|
IF alpha and beta be the roots of the equation x^2-4x+10=0, find the e...
Text Solution
|
If p and q are the roots of the equation 3x^2+6x+2=0, show that the eq...
Text Solution
|
If the sum of the roots of a quadratic equation is 2 and the sum of th...
Text Solution
|
If the sum of the roots of the equation x^2-px+q=0 be three times thei...
Text Solution
|
If the roots of the equation ax^2+bx+c=0 are in the ratio 3:4 show tha...
Text Solution
|
If one root of the equation x^2+(5a+2)x+5a+2=0 is five times the other...
Text Solution
|
Find the quadratic equation whose roots are the cubes of the roots of ...
Text Solution
|
The ratio of the roots of the equation ax^2+bx+c=0is r:1 Prove that, b...
Text Solution
|
If the roots of the equation px^2+rx+r=0 are in the ratio a:b, prove t...
Text Solution
|
In a quadratic equation of the form x^2+mx+n=0 the constant term is mi...
Text Solution
|
For what value of m the roots of the equation (m+1)x^2+2(m+3)x+m+8=0 a...
Text Solution
|
If one root of the equation x^2+bx+8=0 be 4 and the roots of the equat...
Text Solution
|
For what value of m the roots of the equation 3/(x+3+m)+5/(x+5+m)=1 ar...
Text Solution
|
Find the condition so that the roots of the equation a/(x-a)+b/(x-b)=5...
Text Solution
|
Show that the roots of each of the following equations are rational(a,...
Text Solution
|
Show that the roots of each of the following equations are rational(a,...
Text Solution
|
Show that the roots of the equation (a^2-bc)x^2+2(b^2-ca)x+c^2-ab=0 ar...
Text Solution
|
If one root of the equation qx^2+px+q=0 (p,q are real) be imaginary, s...
Text Solution
|