Question

if one root of quadratic equation X² -4x+1=0 is (2+√3) then find other root​

Answer 1

Substituting x=1−p, we get

(1−p)

2

+p(1−p)+(1−p)=0

(1−p)(1−p+p+1)=0

Hence, p=1

Thus, x=0 is root of the equation.

Now, the equation changes to

x

2

+x=0

x(x+1)=0

x=0 and x=−1

Answer By

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Toppr

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