The unit digit of a two digit number exceeds its tens' digit by 6 and the product of two digits is less by 12 from the number.Hence find the required quadratic equation.

Explanation

Let the tens' digit of the number =x
`:.` unit digit =(x+6)
`:.` The number `x""xx10+x+6=11x+6`.
As per question, `x(x+6)=11x+6-12`
or, `x^(2)+6x=11x-6`.
or, `x^(2)+6x-11x+6=0`
or, `x^(2)-5x+6=0`.
Hence the required quadratic equation is `x^(2)-5x+6=0`.