Radix where 554 is 24²

Find the radix $b$ such that the numeral $55 4_{b}$ equals the square of $24$ (in decimal).

~4 minAnswer checked instantlybase conversionquadratic equation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.b, No. 22

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).