Question

Find the value of ${}^{\prime }{a}^{\prime },$ if $x=0.5$ is a solution of equation $a{x}^2+(a-1)x+3=a.$

• A. $6$
• B. $12$
• C. $10$
• D. $8$

Answer 1

The correct option is C $10$


Given,
$a{x}^2+(a-1)x+3=a$
put $x=0.5$
$\Rightarrow a(0.5{)}^2+(a-1)0.5+3=a$
$\Rightarrow 0.25a+0.5a-0.5+3=a$
$\Rightarrow 0.75a+2.50=a$
$\Rightarrow 2.50=a-0.75a$
$\Rightarrow 0.25a=2.50$
$\Rightarrow a=10$
Option C is correct.