Question

# Value of $$k$$ for which the quadratic polynomial $$kx^2 + x + k$$ has equal zeros.

A
±12
B
±13
C
±14
D
±1

Solution

## The correct option is D $$\pm \displaystyle \frac{1}{2}$$For the equation $$kx^2 + x +k = 0$$ to have equal zeros the discriminant must be zero.Hence, $$1 - 4k^2 =0$$$$=>k^2 =\dfrac{1}{4}$$$$\therefore k = \pm \displaystyle \dfrac{1}{2}$$Mathematics

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