Solve it without calculus or quadratic

A person starts walking from point AA with a certain velocity on the highway. Point CC is in the grassland at a distance ll from the highway and he wants to get there as soon as possible. However, his speed is QQ times slower walking on grass than on highway. At what distance xx (AD>x)(AD>x) from point DD should he change his path so that he reaches point CC in minimum time.

Assume l=9 ml=9\text{ m}, Q=1012Q= 10^{\frac{1}{2}}.

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