Exercise 4.3

Find the roots of the following quadratic equations, if they exist, by the method of completing the square:

Find the roots of the following quadratic equation, if they exist, by the method of completing the square.

Find the roots of the following quadratic equation, if they exist, by the method of completing the square.

Find the roots of the quadratic equation by applying the quadratic formula.
 $2x^2+x-4=0$

Find the roots of the quadratic equation by applying the quadratic formula.
 $4x^2+4\sqrt{3}x+3=0$
 

Find the roots of the quadratic equation by applying the quadratic formula.
 $2x^2+x+4=0$
 

Find the roots of the following equation.

$\frac{1}{x+4}-\frac{1}{x-7}=\frac{11}{30}, x\ne -4,7$

Sum of the areas of two squares is $468 {\mathrm{m}}^2$. If the difference of their perimeters is $24 \mathrm{m}$, find the sides of the two squares.