For what value of p does equation 3x^2+px+3=0 has real roots
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Roots are real, if discriminant >= 0
![{p}^{2} - 4 \times 3 \times 3 \geqslant 0 \\ {p}^{2} \geqslant 36 \\ p \geqslant 6 \: \: or \: \: p \leqslant - 6 \\ \\ in \: \: interval \: \: form \\ p \in( - \infty , - 6] \cup[6, \infty )](https://tex.z-dn.net/?f=+%7Bp%7D%5E%7B2%7D++-+4+%5Ctimes+3+%5Ctimes+3++%5Cgeqslant++0+%5C%5C++%7Bp%7D%5E%7B2%7D+++%5Cgeqslant++36+%5C%5C+p++%5Cgeqslant++6+%5C%3A++%5C%3A+or+%5C%3A++%5C%3A+p++%5Cleqslant+++-+6+%5C%5C++%5C%5C+in+%5C%3A++%5C%3A+interval+%5C%3A++%5C%3A+form+%5C%5C+p+%5Cin%28+-++%5Cinfty+%2C+-+6%5D+%5Ccup%5B6%2C+%5Cinfty+%29 "{p}^{2} - 4 \times 3 \times 3 \geqslant 0 \\ {p}^{2} \geqslant 36 \\ p \geqslant 6 \: \: or \: \: p \leqslant - 6 \\ \\ in \: \: interval \: \: form \\ p \in( - \infty , - 6] \cup[6, \infty )")
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