Ground state energy calculation

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Tanmoy
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Homework Statement
How to find ground state energy from given Hamiltonian?
Relevant Equations
H=bx^2/(2m)+ax^2+bx+c
Scanned multiple-choice question: ground state energy of H = bx^2/(2m) + ax^2 + bx + c, with four options involving h-bar, sqrt(2a/m) or sqrt(a/2m), c, and b^2/4a.
 
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