Help please with: Solve equation ((2X)^2)/2 + X - X^2 = Y for X=.

[ProfMath]

I have an equation
((2X)²)/2+X-X²=Y
I want to have the equation changed to X=.......
without any X in the right-hand side
help would be appreciated

 

[topsquark]

Hint: You can rewrite this as a quadratic equation in X. If you still can't do it, then just let us know.

-Dan

 

[Deleted member 4993]

I have an equation
((2X)²)/2+X-X²=Y
I want to have the equation changed to X=.......
without any X in the right-hand side
help would be appreciated

I am assuming that your problem looks lik:

\(\displaystyle \displaystyle{Y = \dfrac{2X^2}{2 + X - X^2}}\)

Next convert the above to:

Y *(2 + X - X²) = 2X²

Above is a quadratic in 'X' - where 'Y' is treated like a constant. Now you have a quadratic in 'X' and solve it......

 

[Denis]

You should end up with:
(y + 2)x^2 - yx - 2y = 0

a = y + 2
b = -y
c = -2y

 

[Steven G]

You should end up with:
(2y + 2)x^2 - yx - 2y = 0

a = 2y + 2
b = -y
c = -2y

What does a = ?

 

[Denis]

What does a = ?

Please show your work...we'll check it...

 

[Denis]

a = y + 2; 2y + 2 = typo; to the corner I go for 2y + 2 minutes where y = -1

 

[ProfMath]

I am assuming that your problem looks lik:

\(\displaystyle \displaystyle{Y = \dfrac{2X^2}{2 + X - X^2}}\)

Next convert the above to:

Y *(2 + X - X²) = 2X²

Above is a quadratic in 'X' - where 'Y' is treated like a constant. Now you have a quadratic in 'X' and solve it......

I am having this equation in my calculator
no i didnt assume that
i was asking
Y=[(2X)²/2] +X-X²
Help would be appreciated

 

[ProfMath]

and I don't want the equation to become quadratic
I just want to isolate X on the left hand side and Have only Y in the right hand side

 

[tkhunny]

and I don't want the equation to become quadratic
I just want to isolate X on the left hand side and Have only Y in the right hand side

What does "become" mean? Either it is or it isn't.

 

[Dr.Peterson]

I am having this equation in my calculator
no i didnt assume that
i was asking
Y=[(2X)²/2] +X-X²
Help would be appreciated

and I don't want the equation to become quadratic
I just want to isolate X on the left hand side and Have only Y in the right hand side

What you're saying is that when they assumed you meant to write ((2X)²)/(2+X-X²)=Y , they were wrong.

What you did write, and now say it really is, can be simplified to Y = 2X² + X - X² = X² + X.

To solve this, you have to rewrite it as X² + X - Y = 0, and use the quadratic formula to solve for X.

You can't avoid working with a quadratic equation; that is what it is!