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Grade 12Algebra

if aEz and the equation (x-a)(x-10)+1=0 has integral roots then the values of a are?

Profile image of sushrutha
8 Years agoGrade 12
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1 Answer

Profile image of Arun
8 Years ago
Dear student
 
on simplifying
x^2 –(a +10)x + 10a + 1 = 0
x^2 –(a +10)x + (10a + 1) = 0
now 
if we use formula method to find the roots. we will see that
a = 8 and 12 are the ony solutions.
 
Regards
Arun (askIITians forum expert)