Question

Form a equation whose root are -
$\begin{array}{cc}& i)3,-\frac{1}{3}\\ & ii)\sqrt{3},\frac{1}{\sqrt{3}}\\ & ii)0,0\end{array}$

Answer 1

$\left(i\right)$ $3,\frac{-1}{3}$

$⟹(x-3)(x+\frac{1}{3})=0$

$⟹x^2+\frac{x}{3}-3x-1=0$

$⟹3x^2+x-9x-3=0$

$⟹3x^2-8x-3=0$

$\left(ii\right)$ $\sqrt{3},\frac{1}{\sqrt{3}}$

$⟹(x-\sqrt{3})(x-\frac{1}{\sqrt{3}})=0$

$⟹x^2-\frac{x}{\sqrt{3}}-\sqrt{3}x+1=0$

$⟹x^2-x(\frac{1}{\sqrt{3}}+\sqrt{3})+1=0$

$\left(iii\right)$ $0,0$

$⟹x^2=0$