Question 1189683
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Find all values of k that ensure that the given equation has exactly one solution. (Enter your answers as a comma-separated list.)
kx2 + 34x + k = 0
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<pre>
The necessary and sufficient condition is that the discriminant of the quadratic equation is zero

    d = b^2 - 4ac = 0,

or

    34^2 - 4k^2 = 0,

which gives

    k^2 = {{{34^2/4}}}

    k   = +/- {{{sqrt(34^2/4)}}} = +/- {{{34/2}}} = +/- 17.


<U>ANSWER</U>.  There are two values of k satisfying the imposed condition:  k = 17  and  k = -17.
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Solved.