Question

Form a quadratic equation with rational coefficients whose one root is 3 -root5​

Answer 1

Answer:

x^2-2(6x)+(3+√5)(3-√5)

Step-by-step explanation:

you will need to make all terms rational, so the coefficient of X that is sum of roots is rational.

so..

3-√5. +t= rational

the only way this can happen is if we have a term y+√5

doing the same with the product of roots that is the coefficient of x^0,

you get the above equation

Answer 2

Answer:

x^2-2(6x)+(3+√5)(3-√5)

Step-by-step explanation:

you will need to make all terms rational, so the coefficient of X that is sum of roots is rational.

so..

3-√5. +t= rational

the only way this can happen is if we have a term y+√5

doing the same with the product of roots that is the coefficient of x^0,

you get the above equation

Hope this may help you

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