x2-12x+k=0 has real roots. if|k|<15 how many integer values can k take

Question

Answer 1

Given that $$x^2 - 12x + k = 0$$ has real roots. Hence $$ 144 - 4k \geq 0$$ => $$k \leq 36 $$ . Also |k| < 15. Hence the integral values for k are from -14 to 14 ie 29 in number

Answer 2

Given that $$x^2 - 12x + k = 0$$ has real roots. Hence $$ 144 - 4k \geq 0$$ => $$k \leq 36 $$ . Also |k| < 15. Hence the integral values for k are from -14 to 14 ie 29 in number

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x2-12x+k=0 has real roots. if|k|<15 how many integer values can k take