This pattern is used to state that there is absolutely no method or way to achieve something. It carries a sense of helplessness or inevitability. The noun 術 means 'technique' or 'means', and with がない it literally means 'there is no means'. It is often used in written language or formal speech, and is common in news, literature, or serious discussions. In casual conversation, you might hear どうしようもない or 仕方がない instead, which are more colloquial. Note that 術 is often read as 'sube' in this pattern, not 'jutsu', which is more common in words like 忍術. The pattern can be used with both positive and negative verbs, but it always implies a lack of ability or option. For example, 逃げる術がない means 'there is no way to escape', and 解決する術がない means 'there is no way to solve (it)'. When using with nouns, it's less common; you would typically convert the noun to a verb phrase, so it's safer to stick with verb dictionary forms.