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JEE MainMathematicsEasyQuadratic Equations

The integral value of a for which the quadratic equation
(x-a)(x-10)+1= 0 has integral roots are

Show answer and solution
(x−a)(x−10)=−1(x - a)(x - 10) = - 1
x−a=1,x−10=−1x - a = 1,x - 10 = - 1
or x−a=−1,x−10=1x - a = - 1,x - 10 = 1
⇒a=8,12\Rightarrow a = 8,12

Source: Grass-G / M-16 Mathematics Paper 25 Nov First.docx

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