Question

The number of solution(s) of $y=x^2+10x+22$ and $y=\log x,$ is

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is A $0$

$y=x^2+10x+22\Rightarrow y=(x^2+10x+25)-3\Rightarrow y={(x+5)}^2-3$

Thus $y=x^2$ is first shifted towards left by $5$ units and then moved down by $3$ units


As $y=x^2+10x+22$ and $y=\log x$ does not intersect, hence the number of solution is $0.$