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Grade 12Algebra

If x is real, then the expression (x²+34x-71)/(x²+2x-7)

  1. lies b/w 4 and 7
  2. lies b/w 5 and 9
  3. has no value b/w 4 and 7
  4. has no value b/w 5 and 9



Plz solve it...


Profile image of Abhijat  Pandey
15 Years agoGrade 12
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1 Answer

Profile image of Chetan Mandayam Nayakar
15 Years ago

let (x^2 +34x-71)=k(x^2+2x-7),this is a quadratic equation in x which has real roots/values of x if the discriminant, which is a function of 'k' is non-negative, solve this inequality to obtain the answer.