The phrase "accepted the task" is correct and usable in written English.
You can use it when indicating that someone has agreed to take on a specific responsibility or assignment.
Example: "After careful consideration, she accepted the task of leading the project team."
Alternatives: "took on the task" or "agreed to the task".
On Thursday the player who sternly accepted the task was Timberwolves forward Andrei Kirilenko.
Rumor was that he accepted the task reluctantly, but he has worked hard and pushed enemies near to a settlement.
Back in the hall, divisions were papered over, as best they could be, by those who accepted the task.
Like a wise political candidate, he presented himself as the reluctant outsider who had accepted the task of cleaning up a mess left by corrupt predecessors.
Levi still regarded the Eighth as subscribers' kryptonite, so he pawned it off on Felix Weingartner, who accepted the task with seeming gusto, then failed to produce a première.
Indeed, when asked about Congress, Bernanke adopted the chipper tone of a wife who knows her husband will never pick up his socks and has just accepted the task.
Yet even a player as confident as Ronaldo accepts the task is fraught with difficulty.
I'm more willing to accept the task put in front of me". 8. Margaret L. Dundon "I've always been assertive.
According to the Wrap, Fincher made it a condition of his accepting the task of directing the film that producing studio Sony secure Bale for the lead.
After the second world war, he worked for six years as a translator for Unesco before in 1953 accepting the task of organising the banned Communist party in Madrid.
He still thrives on the challenge -- which is why he will be the first to accept the task of guarding Vince Carter -- and still gets a jolt from the game-time atmosphere.
