Use quadratic formula to solve a function

[Kinetica]

Homework Statement

L^-1(1-(Lambda₁+Lambda₂)L+Lambda₁Lambda₂L²)F_t

Use quadratic formula to solve for Lambda₁ and Lambda₂

The Attempt at a Solution

I took the equation inside the brackets and solved for L. It turned out that
L₁=Lambda₁ and L₂=Lambda₂

But when I plugged those findings back, I got a slightly different equation. Weird...

Anyway, is that a right approach or am I missing something? You can see my full solution in the attachment.

Thanks A LOT!

 

[Mark44]

Homework Statement

L^-1(1-(Lambda₁+Lambda₂)L+Lambda₁Lambda₂L²)F_t

Use quadratic formula to solve for Lambda₁ and Lambda₂

What you have is not an equation, so you can't solve for anything.

The Attempt at a Solution

I took the equation inside the brackets and solved for L.

An equation has an = in it. That's how you know it's an equation. You don't have an equation.

It turned out that
L₁=Lambda₁ and L₂=Lambda₂

But when I plugged those findings back, I got a slightly different equation. Weird...

Anyway, is that a right approach or am I missing something? You can see my full solution in the attachment.

Thanks A LOT!