Find the roots of the quadratic equations by using the quadratic formula in each of the following

$2x^2-3x-5=0$

Find the roots of the quadratic equation by using the quadratic formula in each of the following 

$5x^2+13x+8=0$

Find the roots of the quadratic equations by using the quadratic formula in each of the following 

$-3{\mathrm{x}}^2+5\mathrm{x}+12=0$

Find the roots of the quadratic equations by using the quadratic formula in each of the following 

$-x^2+7x-10=0$

Find the roots of the quadratic equations by using the quadratic formula in each of the following 

$x^2+2\sqrt{2}x-6=0$

Find the roots of the quadratic equations by using the quadratic formula in each of the following 

$x^2-3\sqrt{5}x+10=0$

Find the roots of the quadratic equations by using the quadratic formula in each of the following 

$\frac{1}{2}{x}^2-\sqrt{11}x+1=0$

Find the roots of the following quadratic equations by the factorisation method.

$2x^2+\frac{5}{3}x-2=0$

Find the roots of the following quadratic equations by the factorisation method.

$\frac{2}{5}{x}^2-x-\frac{3}{5}=0$