If b 6 is one of the quadratic equation x2 6x b 0 where b is an integer then what is the maximum val...........

Quantitative Aptitude (CDS) Quadratic Equations

If (b - 6) is one of the quadratic equation x² - 6x +b = 0, where b is an integer , then what is the maximum value of b²?

(b - 6) is a root of x² - 6x +b = 0
=> (b - 6)² +6(b - 6) + b = 0
=> b² - 17b +72 = 0
=> b=9 or b =8
max value of b² = 9²= 81

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