Math  /  Algebra

Question Find the value(s) of kk for which the quadratic equation y=kx24x+ky=k x^{2}-4 x+k has no real roots.

Studdy Solution
This inequality represents a quadratic equation that opens upwards and has roots at k=2k=-2 and k=2k=2. The inequality is satisfied for values of kk that fall outside of this interval.
k<2ork>2k<-2 \quad or \quad k>2So, the relation y=kx24x+ky=k x^{2}-4 x+k will have no zeroes for k<2k<-2 or k>2k>2.

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