Question

Find a quadratic equation whose the sum and product of its are 2 & -3.

Answer 1

Answer:

Step-by-step explanation:

The required quadratic equation is x^2 -2x -3

Answer 2

$\texttt{Let the zeros of the quadratic}$

$\texttt{equation be α \& β}$

$\bold{\underline{\large\texttt{Given :-}}}$

$\;\;\;\;\;\;\texttt{α}\mathtt{+}\texttt{β }\mathtt{=2}$

$\;\;\;\;\;\;\texttt{αβ }\mathtt{=2}$

$\bold{\underline{\large\texttt{General formula of quadratic}}}$

$\bold{ \underline{ \large\texttt{ equations :-}}}$

$\texttt{Any quadratic equation with α \& β as}$

$\texttt{roots is in the form –}$

$\mathtt{\;\;\;\;\;\;\;\; x²-(}\texttt{α}\mathtt{+}\texttt{β)x}\mathtt{+}\texttt{αβ}\mathtt{=0}$

$\bold{\underline{\large\mathtt{Solⁿ :-}}}$

$\texttt{The required quadratic equation is :}$

$\mathtt{\;\;\;\;\;\;x²-(2)x+(-3)=0}$

$\implies\mathtt{x²-2x-3 = 0}$