2010 · Q13
What is the least integral value of k for which the equation x² – 2(k-1)x + (2k+1) = 0 has both the roots positive ?
Elementary MathematicsAlgebra
- A1
- B-1/2
- C4
- D0
Explanation
Sum>0 gives k>1, discriminant≥0 gives k≥4; least integral k=4.
What is the least integral value of k for which the equation x² – 2(k-1)x + (2k+1) = 0 has both the roots positive ?
Explanation
Sum>0 gives k>1, discriminant≥0 gives k≥4; least integral k=4.