The solution of the equation ax b 0 is

Asked by admin @ 10/08/2021 in Math viewed by 392 People

Find the solution of the equation ax+b=0

Answered by admin @ 10/08/2021

$\textbf{Linear equation:}$

$\text{A polynomial equation in which the degree}\;$

$\text{of the variable is one is called Linear equation}\;$

$\textbf{Solution:}$

$\text{Solution of a polynomial equation in x is a real}$

$\text{value of x that satifies the polynomial equation}$

$\textbf{Given:}$

$a\,x+b=0$

$\textbf{To find:}$

$\text{Solution of $a\,x+b=0$}$

$\text{Consider,}\;a\,x+b=0$

$\implies\,a\,x=-b$

$\implies\bf\,x=\dfrac{-b}{a}$

$\textbf{Verification:}$

$a\,x+b=0$

$a(\dfrac{-b}{a})+b=0$

$-b+b=0$

$0=0$

$\implies\text{$\dfrac{-b}{a}$ satisfies the given equation}$

$\therefore\textbf{The require solution is $\bf\dfrac{-b}{a}$}$

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