How do you solve a squared plus twenty eight point zero nine equals fifty one point eighty four?

To solve the equation ( a^2 + 28.09 = 51.84 ), first subtract 28.09 from both sides to isolate ( a^2 ):

[ a^2 = 51.84 - 28.09 ]

This simplifies to ( a^2 = 23.75 ). Finally, take the square root of both sides to find ( a ):

[ a = \sqrt{23.75} ]

which gives ( a \approx 4.87 ) (considering both positive and negative roots).