Find the roots of the quadratic polynomials:f(x)=x^2-2x-1

defazajx

defazajx

Answered question

2021-09-18

Find the roots of the quadratic polynomials:
f(x)=x22x1

Answer & Explanation

wornoutwomanC

wornoutwomanC

Skilled2021-09-19Added 81 answers

We know that, for an standard equation f(x)=ax2+bx+c, roots are calculated by using quadratic formula as x=b±b24ac2a
We have the given equation as
f(x)=x22x1
On comparing the equation f(x)=x22x1 with standard equation f(x)=ax2+bx+c, we get the result as a=1,b=2,andc=1
Therefore, by using equation, we get the zeros as
x=(2)±(2)24(1)(1)(2)(1)
x=2±4+42
x=2±222
x=1±2
Hence, zeros of the quadratic f(x)=x22x1 are x=1+2  and  x=12

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