Which of the following equations has two distinct real roots

$D=b^2-4ac=18-4\left(2\right)\left(\frac{2}{9}\right)=18-18=0$

$\therefore$ Given have equal roots

Option(B):$x^2+x-5=0$

$D=1-4\left(1\right)\left(-5\right)=1+20=21>0$

$\therefore$ Given equation has real and distinct roots.

Option(C): $x^2+3x+2\sqrt{2}=0$

$D={\left(3\right)}^2-4\left(1\right)\left(2\sqrt{2}\right)=9-8\sqrt{2}<0$

$\therefore$ Given equation does not have real roots.

Option(D): $5x^2-3x+1=0$

$D={\left(-3\right)}^2-4\left(5\right)\left(1\right)=9-20=-11<0$

$\therefore$ Given equation does not have real roots.