Answer
No
Work Step by Step
To check if x=1 is a solution of the equation $5x^{2}+2=x-8$, we will substitute x=1 into the equation to see if both sides of the equation are equal. If both sides of the equation become equal, then x=1 would be proven to be a solution of the equation.
Substituting $x=1$ into the equation:
$5(1)^{2}+2=1-8$
$5(1)+2=-7$
$5+2=-7$
$7=-7$
Since 7 and -7 are not equal, x=1 is not a solution of the equation.