(1)State whether the following quadratic equation have two distinct real roots. Justify your answer.(i) x2−3x+4=0(2)State whether the following quadratic equation have two distinct real roots. Justify your answer.(ii) 2x2+x−1=0(3)State whether the following quadratic equation have two distinct real roots. Justify your answer.(iii) 2x2−6x+92=0(4)State whether the following quadratic equation have two distinct real roots. Justify your answer.(iv) 3x2−4x+1=0(5)State whether the following quadratic equation have two distinct real roots. Justify your answer.(v) (x+4)2−8x=0(6)State whether the following quadratic equation have two distinct real roots. Justify your answer.​(vi) (x−√2)2−2(x+1)=0(7)State whether the following quadratic equation have two distinct real roots. Justify your answer.(vii) √2x2−3√2x+1√2=0(8)State whether the following quadratic equation have two distinct real roots. Justify your answer.(viii) x(1−x)−2=0(9)State whether the following quadratic equation have two distinct real roots. Justify your answer(ix) (x−1)(x+2)+2=0(10)State whether the following quadratic equation have two distinct real roots. Justify your answer.(x) (x+1)(x−2)+x=0