Column equation solving problems

Let's say the original plan was to burn x tons per day.

50/x+20=50/(x-2)

Then there is 50(x-2)+20x(x-2)=50x, then there is 20x2-40x-100=0

then there is x 2-2x-5=0

x1 = 1 + - root number 6 (negative root rounded).

So x = 1 + root number 6 = tons.

It was planned to burn tons per day.

That number is, the landlord can try it with a calculator).

If x tons are burned per day, it can be burned for n days, and after the improvement of x*n=50, it can be burned for n+20 days if x-2 tons are burned per day, (x-2)*(n+20)=50

Solve the system of equations to get x 2-2x-5 = 0

The solution yields x=1+sqrt(6)=

Note: sqrt means root number.

The equation written by Specialoo reverses the subtraction and the subtraction, which should be 50 (x-2)-50 x=20, because the number of days burned after saving coal is longer.

You're right, =2 2+4*1*5=24, isn't it 2*sqrt(6)!

x1=(-2+2*sqrt(6)) 2=1+sqrt(6)=,x2=(-2+2*sqrt(6)) 2 (this is a negative value, so it is rounded).

Assuming that the original plan was to burn x tons of coal per day, the original planned coal could be used for 50 x days, but now due to the saving of 2 tons per day, the actual coal can be used for 50 (x-2) days;

Establish relation: 50 x=50 (x-2)-20;

Solving the equation yields x=1+sqrt(6), and the other solution is rounded off negatively;

For example, sqrt(6) indicates 6 under the root number

The original plan was to burn x tons of coal per day.

50/x+20=50/(x-2)

5(x-2)+2x(x-2)=5x

2x^2-4x-10=0

x^2-2x-5=0

x-1)^2=6

x = 1 + root number 6 = tons.

It was planned to burn tons per day.

Assuming that the original plan was to burn x tons of coal per day, the actual daily coal burning was x-2 tons 50 x - 50 (x-2) = 20

The solution is x -2x+5=0

4-20<0 No solution So the question is wrong or you copied the wrong question!

The original plan was to burn x tons per day.

50/x-50/(x-2）=20

Sorted out x 2-2x+5=0

x-1)^2=-4

So there is no solution to the equation!!

This is a mistake.

The original plan was to make x tons per day.

50/x+20=50/（x-2）

Just figure it out.

Set the original plan to take x days.

—=x+20

50/x -2

50 x is how much was originally planned to be used per day,—— is how many days were actually used.

50/x -2

The problem with the root number is wrong.