The quadratic equation ${2x}^2-\sqrt{5x}+1=0$ has

Q.

Question 8
The quadratic equation $2x^2-\sqrt{5}x+1=0$ has
(A) two distinct real roots
(B) two equal real roots
(C) no real roots
(D) more than 2 real roots

Q. (1)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(i) $x^2-3x+4=0$

(2)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(ii) $2x^2+x-1=0$

(3)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(iii) $2x^2-6x+\frac{9}{2}=0$

(4)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(iv) $3x^2-4x+1=0$

(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) $(x-\sqrt{2}{)}^2-2(x+1)=0$

(7)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(vii) $\sqrt{2}{x}^2-\frac{3}{\sqrt{2}}x+\frac{1}{\sqrt{2}}=0$

(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) $(x+1)(x-2)+x=0$

Q. The given quadratic equations have real roots and roots are Real and equal, $\sqrt{\frac{3}{2}}$ :
$2x^2-2\sqrt{6x}+3=0$