book Maths Puzzle Numerical Ability

sqrt of x+9-3 = sqrt of x-6

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book Other Question

(x-2) is a factor of which polynomial?
I. x2-4x+4
II. x2+x-6

a.I only
b. II only
c. I and II
D. neither
Could you please explain how to solve this equation:
a
--- . a =/= 0
a

Thank you!