Why Does My Quadratic Equation Not Solve in This Momentum Problem?

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SUMMARY

The discussion centers on the challenges faced when solving a quadratic equation derived from momentum and kinetic energy equations in a physics problem. The user attempted to apply the momentum equation, m*u = m1*v1 + m2*v2, and the kinetic energy equation, Ek = 1/2*m1*v1^2 + 1/2*m2*v2^2, but encountered an unsolvable quadratic equation after substituting values. The specific value of m*u was noted as 54.77, which contributed to the confusion in resolving the equations.

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Homework Statement


See attached image


Homework Equations


Momentum equations.
Kinetic energy equations.

The Attempt at a Solution


I attempted to write out the momentum equation and the kinetic energy equation and tried to resolve the two equations (which became a quadratic) but I keep getting a false equation from my calculator

m*u = m1*v1 + m2*v2
Ek = 1/2*m1*v1^2 + 1/2*m2*v2^2

I substituted the values in and it resulted in a unsolvable quadratic equation.
Any tips guys?
 

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What did you put in this value ?
m*u
 
m*u = 54.77
 

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