How is it possible to solve this ? Determine values(s) of k for which
1. kx^2 – x – 4 = 0
2. 3x^2 + 5x + k = 0
3. 4x^2 – 3x + k = 0
4. kx^2 + 3x - 7 = 0
5. kx^2 - x - 3 = 0
Thank you
Hello, rcs!
$\displaystyle \text{Determine values(s) of }k\text{ for which:}$
. . $\displaystyle \begin{array}{ccccc}1.& kx^2 – x – 4 &=& 0 \\ 2.& 3x^2 + 5x + k &=& 0 \\ 3. & 4x^2 – 3x + k &=& 0 \\ 4.& kx^2 + 3x - 7 &=& 0 \\ 5. & kx^2 - x - 3 &=& 0 \end{array}$
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The problem is not clearly stated.
If complex roots are permitted, any value of $\displaystyle k$ can be used.
If the roots must be real, the discriminant must be nonnegative.
If the roots must be rational, the discriminant must be a square.