SOLUTION: Make x the the subject of the formula A=X(2X-N)-X

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Question 1177588: Make x the the subject of the formula
A=X(2X-N)-X
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A = 2X^2 - NX - X
Combining like terms, we get:
A = 2X^2 - (N+1)X
Now, we can isolate X by moving the constant term to the right side of the equation:
A + (N+1)X = 2X^2
And then dividing both sides by 2
(X^2) / 1 = (A + (N+1)X) / 2
Taking the square root of both sides, we get:
X = +/- sqrt[(A + (N+1)X) / 2]

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

What @mananth presents as a solution, is not a solution, at all.

His solution is wrong and is incorrect - - - both at the same time.


To get a solution, write the given equation as a standard quadratic equation for x
and then apply the quadratic formula.


            It is as simple as an orange, or a cucumber.



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Make x the the subject of the formula
A=X(2X-N)-X
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Make x the the subject of the formula
a=x(2x-n)-x
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2x%5E2-nx-x-a=0
2x%5E2-%28n%2B1%29x-a=0

general solution formula for quadratic equation
x=%28%28n%2B1%29%2B-+sqrt%28%28-%28n%2B1%29%29%5E2-4%2A2%2A%28-a%29%29%29%2F4
x=%28n%2B1%2B-+sqrt%28n%5E2%2B2n%2B1%2B8a%29%29%2F4