find the nature of the roots of the equation-3x^2+5x+12=0
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Given:
3x
2
−5x−12=0
x=
2(3)
5±
(−5)
2
−(4)(3)(−12)
x=
6
5±
25+144
x=
6
5±
169
x=
6
5±13
x=
6
5+13
and x=
6
5−13
x=3 and x=
3
−4
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