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I read that in ancient times the quadratic equation of this kind $$x^2+10x=39$$ had been solved long ago. I read that this kind of equation originated in the geometric question of "Given an area of 39, find the side x s.t. the square of x plus the rectangle of x and 10 fit the area."

But this condition "Given...area" seems artificial to me.

My question is, how was the condition "..." related to the actual needs of the real world in ancient times?

Is there any evidence that this kind of condition REALLY grows out of some geometric construction problem for the base of some temple or something like that?

I read that in ancient times the quadratic equation of this kind $$x^2+10x=39$$ had been solved long ago. I read that this kind of equation originated in the geometric question of "Given an area of 39, find the side x s.t. the square of x plus the rectangle of x and 10 fit the area."

But this condition "Given...area" seems artificial to me.

My question is: How was this condition related to the actual needs of the real world in ancient times?

Is there any evidence that this kind of condition REALLY grows out of some geometric construction problem for the base of some temple or something like that?

I read that in ancient times the quadratic equation of this kind $$x^2+10x=39$$ had been solved long ago. I read that this kind of equation originated in the geometric question of "Given an area of 39, find the side x s.t. the square of x plus the rectangle of x and 10 fit the area."

But this condition "..." seems artificial to me.

My question is, how was the condition "..." related to the actual needs of the real world in ancient times?

Is there any evidence that this kind of condition REALLY grows out of some geometric construction problem for the base of some temple or something like that?

I read that in ancient times the quadratic equation of this kind $$x^2+10x=39$$ had been solved long ago. I read that this kind of equation originated in the geometric question of "Given an area of 39, find the side x s.t. the square of x plus the rectangle of x and 10 fit the area."

But this condition "Given...area" seems artificial to me.

My question is, how was the condition "..." related to the actual needs of the real world in ancient times?

Is there any evidence that this kind of condition REALLY grows out of some geometric construction problem for the base of some temple or something like that?

I read that in ancient times the quadratic equation of this kind x^2+10x=39 had been solved long ago. And I read that this kind of equation originated in the geometric question of, etc, "given area 39, find the side x s.t. the square of x plus the rectangle of x and 10 fit the area". But this condition "..." seems artificial to me. My question is that how the condition "..." was related to the actual needs of the real world in ancient times?
Is there any evidence that this kind of condition REALLY grows out of some geometric construction problem for the base of some temple or something like that?

I read that in ancient times the quadratic equation of this kind $$x^2+10x=39$$ had been solved long ago. I read that this kind of equation originated in the geometric question of "Given an area of 39, find the side x s.t. the square of x plus the rectangle of x and 10 fit the area."

But this condition "..." seems artificial to me.

My question is, how was the condition "..." related to the actual needs of the real world in ancient times?

Is there any evidence that this kind of condition REALLY grows out of some geometric construction problem for the base of some temple or something like that?