1.

Find the other zeroes of p(x)= x^2- 4x + 1 if one the zero is 2+√3.​

Answer»

Answer:

2-√3

Step-by-step explanation: For FINDING the other zero of the polynomial X^2-4x+1, we have to assume p(x)=0,

so,

     p(x)=> x^2-4x+1 = 0

            now since this is a quadratic equation so, we have a formulae,

            x = -b±(√b^2-4ac)/2A

             now from,

                              p(x)=> x^2-4x+1= 0

                                     => x = -(-4)±(√16-4)/2

                                     => x = 4±(√12)/2

                                     => x = 2+√3 , 2-√3

THEREFORE, the other zero of the polynomial x^2-4x+1 is 2-√3

 



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