Home
Class 12
MATHS
The quadratic equation with rational coe...

The quadratic equation with rational coefficients whose one root is `3+sqrt2` is

A

`x^(2)+2x+1=0`

B

`x^(2)-6x-7=0`

C

`x^(2)-6x+7=0`

D

`x^(2)+6x-7=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the quadratic equation with rational coefficients whose one root is 1//(2+sqrt(5))dot

Find the quadratic equation with rational coefficients whose one root is 1//(2+sqrt(5))dot

Form a quadratic equation with real coefficients whose one root is 3-2idot

IF alpha , beta are the roots of the equation x^2+2ax +b=0 , then the quadratic equation with rational coefficient one of whose roots is alpha + beta + sqrt(alpha ^2+ beta ^2) is

Form a quadratic equations defined over rational coefficients whose one root is sin 18^(@)

Statement -1 : There is just one quadratic equation with real coefficient one of whose roots is 1/(sqrt2 +1) and Statement -2 : In a quadratic equation with rational coefficients the irrational roots are in conjugate pairs.

Statement -1 : There is just on quadratic equation with real coefficients, one of whose roots is 1/(3+sqrt7) and Statement -2 : In a quadratic equation with rational coefficients the irrational roots occur in pair.

If 1+sqrt(2) is a root of a quadratic equation with rational coefficients, write its other root.

Form the polynomial equation with rational coefficients whose roots are -sqrt(3)+-isqrt(2)

A quadratic equation with integral coefficients has integral roots. Justify your answer.