Which of the following quadratic equations has real and equal roots?\

Question

Professor PC Thomas Classes · Answer

(a) : $(x+1)^{2}=2 x+1$\ $x^{2}+2 x+1=2 x+1$\ $x^{2}+2 x+1-2 x-1=0$\ $x^{2}=0 \Rightarrow x=0,0$\ Hence, the given equation has real and equal roots. \ Concept Applied - If $D=b^{2}-4 a c=0$, then the quadratic equation have two real and equal roots.